101102000021021 has 16 divisors (see below), whose sum is σ = 104028744960000. Its totient is φ = 98216132309568.

The previous prime is 101102000020943. The next prime is 101102000021023. The reversal of 101102000021021 is 120120000201101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102000021021 is a prime.

It is a super-2 number, since 2×101102000021021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102000020993 and 101102000021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102000021023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11691686 + ... + 18409223.

It is an arithmetic number, because the mean of its divisors is an integer number (6501796560000).

Almost surely, 2^{101102000021021} is an apocalyptic number.

It is an amenable number.

101102000021021 is a deficient number, since it is larger than the sum of its proper divisors (2926744938979).

101102000021021 is a wasteful number, since it uses less digits than its factorization.

101102000021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30101588.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102000021021 its reverse (120120000201101), we get a palindrome (221222000222122).

The spelling of 101102000021021 in words is "one hundred one trillion, one hundred two billion, twenty-one thousand, twenty-one".