101001112011200 has 84 divisors (see below), whose sum is σ = 248531729612712. Its totient is φ = 40399490841600.

The previous prime is 101001112011199. The next prime is 101001112011251. The reversal of 101001112011200 is 2110211100101.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 69079730 + ... + 70526670.

It is an arithmetic number, because the mean of its divisors is an integer number (2958711066818).

Almost surely, 2^{101001112011200} is an apocalyptic number.

101001112011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001112011200 is an abundant number, since it is smaller than the sum of its proper divisors (147530617601512).

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

101001112011200 is a wasteful number, since it uses less digits than its factorization.

101001112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490590 (or 1490575 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001112011200 its reverse (2110211100101), we get a palindrome (103111323111301).

The spelling of 101001112011200 in words is "one hundred one trillion, one billion, one hundred twelve million, eleven thousand, two hundred".