101112212202000 has 80 divisors (see below), whose sum is σ = 325985772158592. Its totient is φ = 26963256585600.

The previous prime is 101112212201953. The next prime is 101112212202013. The reversal of 101112212202000 is 202212211101.

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 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, 8426011684 + ... + 8426023683.

Almost surely, 2^{101112212202000} is an apocalyptic number.

101112212202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112212202000 is an abundant number, since it is smaller than the sum of its proper divisors (224873559956592).

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

101112212202000 is a wasteful number, since it uses less digits than its factorization.

101112212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852035393 (or 16852035377 counting only the distinct ones).

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

Adding to 101112212202000 its reverse (202212211101), we get a palindrome (101314424413101).

The spelling of 101112212202000 in words is "one hundred one trillion, one hundred twelve billion, two hundred twelve million, two hundred two thousand".