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21121102101021 = 3132421863114661
BaseRepresentation
bin1001100110101101000111…
…10010011011101000011101
32202210011020220212002000120
410303112203302123220131
510232022004114213041
6112530522250545153
74306643412446556
oct463264362335035
982704226762016
1021121102101021
11680345556793a
1224514b24381b9
13ba2932ba1a00
145303a413532d
1526961d201366
hex1335a3c9ba1d

21121102101021 has 48 divisors (see below), whose sum is σ = 30602491587072. Its totient is φ = 12951589996800.

The previous prime is 21121102101017. The next prime is 21121102101103. The reversal of 21121102101021 is 12010120112112.

It is a happy number.

It is not a de Polignac number, because 21121102101021 - 22 = 21121102101017 is a prime.

It is a super-2 number, since 2×211211021010212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121102101521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184147431 + ... + 184262091.

It is an arithmetic number, because the mean of its divisors is an integer number (637551908064).

Almost surely, 221121102101021 is an apocalyptic number.

It is an amenable number.

21121102101021 is a deficient number, since it is larger than the sum of its proper divisors (9481389486051).

21121102101021 is a wasteful number, since it uses less digits than its factorization.

21121102101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115974 (or 115961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21121102101021 its reverse (12010120112112), we get a palindrome (33131222213133).

The spelling of 21121102101021 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, twenty-one".

Divisors: 1 3 13 39 169 421 507 863 1263 2589 5473 11219 16419 33657 71149 114661 145847 213447 343983 363323 437541 1089969 1490593 4471779 4723199 14169597 19377709 48272281 58133127 61401587 98952443 144816843 184204761 296857329 627539653 1286381759 1882618959 3859145277 8158015489 16722962867 24474046467 41658978503 50168888601 124976935509 541566720539 1624700161617 7040367367007 21121102101021