102101000022021 has 192 divisors, whose sum is σ = 185319858769920. Its totient is φ = 48283963453440.

The previous prime is 102101000021989. The next prime is 102101000022041. The reversal of 102101000022021 is 120220000101201.

It is not a de Polignac number, because 102101000022021 - 2⁵ = 102101000021989 is a prime.

It is a super-2 number, since 2×102101000022021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101000021988 and 102101000022006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101000022041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27453883600 + ... + 27453887318.

It is an arithmetic number, because the mean of its divisors is an integer number (965207597760).

Almost surely, 2^{102101000022021} is an apocalyptic number.

102101000022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101000022021 is a deficient number, since it is larger than the sum of its proper divisors (83218858747899).

102101000022021 is a wasteful number, since it uses less digits than its factorization.

102101000022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101000022021 its reverse (120220000101201), we get a palindrome (222321000123222).

The spelling of 102101000022021 in words is "one hundred two trillion, one hundred one billion, twenty-two thousand, twenty-one".