102210122122000 has 80 divisors (see below), whose sum is σ = 247158184470912. Its totient is φ = 40881714825600.

The previous prime is 102210122121929. The next prime is 102210122122027. The reversal of 102210122122000 is 221221012201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×102210122122000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33796047 + ... + 36695953.

Almost surely, 2^{102210122122000} is an apocalyptic number.

102210122122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210122122000 is an abundant number, since it is smaller than the sum of its proper divisors (144948062348912).

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

102210122122000 is a wasteful number, since it uses less digits than its factorization.

102210122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917553 (or 2917537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102210122122000 its reverse (221221012201), we get a palindrome (102431343134201).

The spelling of 102210122122000 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand".