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10210100021121 = 37111378715492789
BaseRepresentation
bin1001010010010011100101…
…1000101000011110000001
31100011002001102111011122010
42110210321120220132001
52314240241101133441
633414242153403133
72102440540144110
oct224447130503601
940132042434563
1010210100021121
113287096315610
12118a951a094a9
13590a67ab5150
1427425876bc77
1512a8c4e31116
hex94939628781

10210100021121 has 128 divisors (see below), whose sum is σ = 18319827456000. Its totient is φ = 4884822236160.

The previous prime is 10210100021117. The next prime is 10210100021159. The reversal of 10210100021121 is 12112000101201.

It is not a de Polignac number, because 10210100021121 - 22 = 10210100021117 is a prime.

It is a super-2 number, since 2×102101000211212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210100021097 and 10210100021106.

It is not an unprimeable number, because it can be changed into a prime (10210100021171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3660844795 + ... + 3660847583.

It is an arithmetic number, because the mean of its divisors is an integer number (143123652000).

Almost surely, 210210100021121 is an apocalyptic number.

10210100021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210100021121 is a deficient number, since it is larger than the sum of its proper divisors (8109727434879).

10210100021121 is a wasteful number, since it uses less digits than its factorization.

10210100021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210100021121 its reverse (12112000101201), we get a palindrome (22322100122322).

The spelling of 10210100021121 in words is "ten trillion, two hundred ten billion, one hundred million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 787 1001 1549 2361 2789 3003 4647 5509 8367 8657 10231 10843 16527 17039 19523 20137 25971 30679 30693 32529 36257 51117 58569 60411 60599 71617 92037 108771 112541 119273 140959 181797 214753 214851 221507 253799 337623 357819 398827 422877 644259 664521 761397 787787 1196481 1219063 1550549 2194943 2363361 2791789 3657189 4320161 4651647 6584829 8375367 8533441 12960483 13409693 15364601 15847819 24144373 25600323 28534259 30241127 40229079 46093803 47521771 47543457 56162093 72433119 85602777 90723381 93867851 110934733 142565313 168486279 169010611 174326009 199739813 281603553 313876849 332652397 332804199 393134651 507031833 522978027 599219439 617783023 941630547 997957191 1179403953 1220282063 1853349069 2197137943 3399966707 3660846189 4324481161 6591413829 10199900121 12973443483 23799766949 37399633777 44199567191 71399300847 112198901331 132598701573 261797436439 309396970337 486195239101 785392309317 928190911011 1458585717303 3403366673707 10210100021121