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101210221121121 = 3274364393680953
BaseRepresentation
bin10111000000110011010111…
…010001110000111001100001
3111021100121021022212101112200
4113000303113101300321201
5101231212013101333441
6555131200025243413
730214124426013240
oct2700632721607141
9437317238771480
10101210221121121
112a281017306902
12b427276333569
13446211018bbc8
141adc85a9bc957
15ba7a9b9957b6
hex5c0cd7470e61

101210221121121 has 24 divisors (see below), whose sum is σ = 167077618631040. Its totient is φ = 57834263843136.

The previous prime is 101210221121039. The next prime is 101210221121129. The reversal of 101210221121121 is 121121122012101.

It is a happy number.

101210221121121 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 221 + 1 + 211 + 21 = 666.

It is not a de Polignac number, because 101210221121121 - 222 = 101210216926817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210221121094 and 101210221121103.

It is not an unprimeable number, because it can be changed into a prime (101210221121129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25655181 + ... + 29336133.

It is an arithmetic number, because the mean of its divisors is an integer number (6961567442960).

Almost surely, 2101210221121121 is an apocalyptic number.

It is an amenable number.

101210221121121 is a deficient number, since it is larger than the sum of its proper divisors (65867397509919).

101210221121121 is a wasteful number, since it uses less digits than its factorization.

101210221121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117405 (or 4117402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101210221121121 its reverse (121121122012101), we get a palindrome (222331343133222).

The spelling of 101210221121121 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 436439 1309317 3055073 3680953 3927951 9165219 11042859 25766671 27495657 33128577 77300013 231900039 1606511446367 4819534339101 11245580124569 14458603017303 33736740373707 101210221121121