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101001211020021 = 313314311913101323
BaseRepresentation
bin10110111101110000101101…
…010011100000001011110101
3111020121121210001111010221010
4112331300231103200023311
5101214300440010120041
6554451152113342433
730163045110325014
oct2675605523401365
9436547701433833
10101001211020021
112a200411585364
12b3b2865267a19
1344484b1293b80
141ad26b0016a7b
15ba24174eba16
hex5bdc2d4e02f5

101001211020021 has 64 divisors (see below), whose sum is σ = 150132947779584. Its totient is φ = 59978084774400.

The previous prime is 101001211020019. The next prime is 101001211020041. The reversal of 101001211020021 is 120020112100101.

It is not a de Polignac number, because 101001211020021 - 21 = 101001211020019 is a prime.

It is a super-2 number, since 2×1010012110200212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001211019979 and 101001211020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001211020041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996773466 + ... + 996874788.

It is an arithmetic number, because the mean of its divisors is an integer number (2345827309056).

Almost surely, 2101001211020021 is an apocalyptic number.

It is an amenable number.

101001211020021 is a deficient number, since it is larger than the sum of its proper divisors (49131736759563).

101001211020021 is a wasteful number, since it uses less digits than its factorization.

101001211020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103714.

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

Adding to 101001211020021 its reverse (120020112100101), we get a palindrome (221021323120122).

The spelling of 101001211020021 in words is "one hundred one trillion, one billion, two hundred eleven million, twenty thousand, twenty-one".

Divisors: 1 3 13 31 39 93 403 431 1209 1293 1913 5603 5739 13361 16809 24869 40083 59303 74607 101323 173693 177909 303969 521079 770939 824503 1317199 2312817 2473509 3141013 3951597 9423039 10718539 25559593 32155617 40833169 43670213 76678779 122499507 131010639 193830899 332274709 567712769 581492697 996824127 1353776603 1703138307 2519801687 4061329809 6008757869 7559405061 17599095839 18026273607 52797287517 78113852297 83541117469 234341556891 250623352407 1086034527097 2589774641539 3258103581291 7769323924617 33667070340007 101001211020021