102012211122000 has 80 divisors (see below), whose sum is σ = 328887368676672. Its totient is φ = 27203256297600.

The previous prime is 102012211121941. The next prime is 102012211122023. The reversal of 102012211122000 is 221112210201.

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 (15).

It is a congruent number.

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, 8501011594 + ... + 8501023593.

Almost surely, 2^{102012211122000} is an apocalyptic number.

102012211122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012211122000 is an abundant number, since it is smaller than the sum of its proper divisors (226875157554672).

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

102012211122000 is a wasteful number, since it uses less digits than its factorization.

102012211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17002035213 (or 17002035197 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102012211122000 its reverse (221112210201), we get a palindrome (102233323332201).

The spelling of 102012211122000 in words is "one hundred two trillion, twelve billion, two hundred eleven million, one hundred twenty-two thousand".