102211010122000 has 80 divisors (see below), whose sum is σ = 266157470425392. Its totient is φ = 37739449881600.

The previous prime is 102211010121971. The next prime is 102211010122027. The reversal of 102211010122000 is 221010112201.

It can be written as a sum of positive squares in 8 ways, for example, as 57847524331536 + 44363485790464 = 7605756^2 + 6660592^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 1965570349 + ... + 1965622348.

Almost surely, 2^{102211010122000} is an apocalyptic number.

102211010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211010122000 is an abundant number, since it is smaller than the sum of its proper divisors (163946460303392).

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

102211010122000 is a wasteful number, since it uses less digits than its factorization.

102211010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931192733 (or 3931192717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102211010122000 its reverse (221010112201), we get a palindrome (102432020234201).

The spelling of 102211010122000 in words is "one hundred two trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand".