101112111120200 has 24 divisors (see below), whose sum is σ = 235085658354930. Its totient is φ = 40444844448000.

The previous prime is 101112111120197. The next prime is 101112111120343. The reversal of 101112111120200 is 2021111211101.

101112111120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 85400257983076 + 15711853137124 = 9241226^2 + 3963818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252780277601 + ... + 252780278000.

Almost surely, 2^{101112111120200} is an apocalyptic number.

101112111120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112111120200 is an abundant number, since it is smaller than the sum of its proper divisors (133973547234730).

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

101112111120200 is a wasteful number, since it uses less digits than its factorization.

101112111120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505560555617 (or 505560555608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112111120200 its reverse (2021111211101), we get a palindrome (103133222331301).

Subtracting from 101112111120200 its reverse (2021111211101), we obtain a palindrome (99090999909099).

The spelling of 101112111120200 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty thousand, two hundred".