102011102212122 has 24 divisors (see below), whose sum is σ = 221024971657620. Its totient is φ = 34003559681280.

The previous prime is 102011102212099. The next prime is 102011102212127. The reversal of 102011102212122 is 221212201110201.

102011102212122 is a `hidden beast` number, since 10 + 201 + 110 + 221 + 2 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59088569974281 + 42922532237841 = 7686909^2 + 6551529^2 .

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 = 102011102212095 and 102011102212104.

It is not an unprimeable number, because it can be changed into a prime (102011102212127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7248279 + ... + 16017482.

Almost surely, 2^{102011102212122} is an apocalyptic number.

102011102212122 is an abundant number, since it is smaller than the sum of its proper divisors (119013869445498).

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

102011102212122 is a wasteful number, since it uses less digits than its factorization.

102011102212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23509358 (or 23509355 counting only the distinct ones).

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

Adding to 102011102212122 its reverse (221212201110201), we get a palindrome (323223303322323).

The spelling of 102011102212122 in words is "one hundred two trillion, eleven billion, one hundred two million, two hundred twelve thousand, one hundred twenty-two".