101000120011021 has 32 divisors (see below), whose sum is σ = 125988251461632. Its totient is φ = 78660133316160.

The previous prime is 101000120010997. The next prime is 101000120011039. The reversal of 101000120011021 is 120110021000101.

It is a de Polignac number, because none of the positive numbers 2^k-101000120011021 is a prime.

It is a super-2 number, since 2×101000120011021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000120010989 and 101000120011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000120011321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4092872535 + ... + 4092897211.

It is an arithmetic number, because the mean of its divisors is an integer number (3937132858176).

Almost surely, 2^{101000120011021} is an apocalyptic number.

101000120011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000120011021 is a deficient number, since it is larger than the sum of its proper divisors (24988131450611).

101000120011021 is a wasteful number, since it uses less digits than its factorization.

101000120011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50409.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000120011021 its reverse (120110021000101), we get a palindrome (221110141011122).

The spelling of 101000120011021 in words is "one hundred one trillion, one hundred twenty million, eleven thousand, twenty-one".