101112200102000 has 160 divisors (see below), whose sum is σ = 256276938101184. Its totient is φ = 38540780544000.

The previous prime is 101112200101987. The next prime is 101112200102027. The reversal of 101112200102000 is 201002211101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10812089 + ... + 17864088.

Almost surely, 2^{101112200102000} is an apocalyptic number.

101112200102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112200102000 is an abundant number, since it is smaller than the sum of its proper divisors (155164737999184).

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

101112200102000 is a wasteful number, since it uses less digits than its factorization.

101112200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28676284 (or 28676268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101112200102000 its reverse (201002211101), we get a palindrome (101313202313101).

The spelling of 101112200102000 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred two thousand".