102100120102101 has 16 divisors (see below), whose sum is σ = 151311327220800. Its totient is φ = 60711334993920.

The previous prime is 102100120102063. The next prime is 102100120102117. The reversal of 102100120102101 is 101201021001201.

It is not a de Polignac number, because 102100120102101 - 2²⁷ = 102099985884373 is a prime.

It is a super-2 number, since 2×102100120102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100120102301) 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, 29188140076 + ... + 29188143573.

It is an arithmetic number, because the mean of its divisors is an integer number (9456957951300).

Almost surely, 2^{102100120102101} is an apocalyptic number.

102100120102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100120102101 is a deficient number, since it is larger than the sum of its proper divisors (49211207118699).

102100120102101 is a wasteful number, since it uses less digits than its factorization.

102100120102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58376283716.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102100120102101 its reverse (101201021001201), we get a palindrome (203301141103302).

The spelling of 102100120102101 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, one hundred two thousand, one hundred one".