101102012122000 has 80 divisors (see below), whose sum is σ = 244468111110912. Its totient is φ = 40440234825600.

The previous prime is 101102012121983. The next prime is 101102012122021. The reversal of 101102012122000 is 221210201101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159497689 + ... + 160130311.

Almost surely, 2^{101102012122000} is an apocalyptic number.

101102012122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102012122000 is an abundant number, since it is smaller than the sum of its proper divisors (143366098988912).

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

101102012122000 is an equidigital number, since it uses as much as digits as its factorization.

101102012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712553 (or 712537 counting only the distinct ones).

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

Adding to 101102012122000 its reverse (221210201101), we get a palindrome (101323222323101).

The spelling of 101102012122000 in words is "one hundred one trillion, one hundred two billion, twelve million, one hundred twenty-two thousand".