101112100120200 has 192 divisors, whose sum is σ = 342313209302400. Its totient is φ = 24538581043200.

The previous prime is 101112100120183. The next prime is 101112100120211. The reversal of 101112100120200 is 2021001211101.

It is a super-4 number, since 4×101112100120200⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90735565 + ... + 91843164.

It is an arithmetic number, because the mean of its divisors is an integer number (1782881298450).

Almost surely, 2^{101112100120200} is an apocalyptic number.

101112100120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112100120200 is an abundant number, since it is smaller than the sum of its proper divisors (241201109182200).

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

101112100120200 is a wasteful number, since it uses less digits than its factorization.

101112100120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182578832 (or 182578823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112100120200 its reverse (2021001211101), we get a palindrome (103133101331301).

The spelling of 101112100120200 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, one hundred twenty thousand, two hundred".