101111100011200 has 84 divisors (see below), whose sum is σ = 248894346304800. Its totient is φ = 40428534154240.

The previous prime is 101111100011191. The next prime is 101111100011227. The reversal of 101111100011200 is 2110001111101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8356375 + ... + 16493974.

It is an arithmetic number, because the mean of its divisors is an integer number (2963027932200).

Almost surely, 2^{101111100011200} is an apocalyptic number.

101111100011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111100011200 is an abundant number, since it is smaller than the sum of its proper divisors (147783246293600).

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

101111100011200 is a wasteful number, since it uses less digits than its factorization.

101111100011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24852914 (or 24852899 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111100011200 its reverse (2110001111101), we get a palindrome (103221101122301).

The spelling of 101111100011200 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, eleven thousand, two hundred".