102122010121101 has 96 divisors (see below), whose sum is σ = 143042822995968. Its totient is φ = 64761847038720.

The previous prime is 102122010121091. The next prime is 102122010121129. The reversal of 102122010121101 is 101121010221201.

It is a happy number.

It is not a de Polignac number, because 102122010121101 - 2⁶ = 102122010121037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122010121151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28501815156 + ... + 28501818738.

It is an arithmetic number, because the mean of its divisors is an integer number (1490029406208).

Almost surely, 2^{102122010121101} is an apocalyptic number.

It is an amenable number.

102122010121101 is a deficient number, since it is larger than the sum of its proper divisors (40920812874867).

102122010121101 is a wasteful number, since it uses less digits than its factorization.

102122010121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102122010121101 its reverse (101121010221201), we get a palindrome (203243020342302).

The spelling of 102122010121101 in words is "one hundred two trillion, one hundred twenty-two billion, ten million, one hundred twenty-one thousand, one hundred one".