102101120002021 has 16 divisors (see below), whose sum is σ = 125394978946176. Its totient is φ = 81137927540736.

The previous prime is 102101120001989. The next prime is 102101120002027. The reversal of 102101120002021 is 120200021101201.

It is a cyclic number.

It is not a de Polignac number, because 102101120002021 - 2⁵ = 102101120001989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101120001992 and 102101120002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101120002027) 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, 6402921916 + ... + 6402937861.

It is an arithmetic number, because the mean of its divisors is an integer number (7837186184136).

Almost surely, 2^{102101120002021} is an apocalyptic number.

It is an amenable number.

102101120002021 is a deficient number, since it is larger than the sum of its proper divisors (23293858944155).

102101120002021 is a wasteful number, since it uses less digits than its factorization.

102101120002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12805859868.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101120002021 its reverse (120200021101201), we get a palindrome (222301141103222).

The spelling of 102101120002021 in words is "one hundred two trillion, one hundred one billion, one hundred twenty million, two thousand, twenty-one".