101112120010200 has 192 divisors, whose sum is σ = 345409132400640. Its totient is φ = 24310320007680.

The previous prime is 101112120010193. The next prime is 101112120010271. The reversal of 101112120010200 is 2010021211101.

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

It is a congruent number.

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, 150398232 + ... + 151069031.

It is an arithmetic number, because the mean of its divisors is an integer number (1799005897920).

Almost surely, 2^{101112120010200} is an apocalyptic number.

101112120010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112120010200 is an abundant number, since it is smaller than the sum of its proper divisors (244297012390440).

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

101112120010200 is a wasteful number, since it uses less digits than its factorization.

101112120010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301467338 (or 301467329 counting only the distinct ones).

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

Adding to 101112120010200 its reverse (2010021211101), we get a palindrome (103122141221301).

The spelling of 101112120010200 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, ten thousand, two hundred".