102121020211122 has 48 divisors (see below), whose sum is σ = 241378581244320. Its totient is φ = 30945555446400.

The previous prime is 102121020211121. The next prime is 102121020211183. The reversal of 102121020211122 is 221112020121201.

102121020211122 is a `hidden beast` number, since 102 + 1 + 210 + 20 + 211 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121020211095 and 102121020211104.

It is not an unprimeable number, because it can be changed into a prime (102121020211121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29144997 + ... + 32460327.

It is an arithmetic number, because the mean of its divisors is an integer number (5028720442590).

Almost surely, 2^{102121020211122} is an apocalyptic number.

102121020211122 is an abundant number, since it is smaller than the sum of its proper divisors (139257561033198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121020211122 is a wasteful number, since it uses less digits than its factorization.

102121020211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470919 (or 3470916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121020211122 its reverse (221112020121201), we get a palindrome (323233040332323).

The spelling of 102121020211122 in words is "one hundred two trillion, one hundred twenty-one billion, twenty million, two hundred eleven thousand, one hundred twenty-two".