101001111011200 has 96 divisors (see below), whose sum is σ = 257552833331520. Its totient is φ = 39097204224000.

The previous prime is 101001111011147. The next prime is 101001111011219. The reversal of 101001111011200 is 2110111100101.

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

It is a congruent number.

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, 508978981 + ... + 509177380.

It is an arithmetic number, because the mean of its divisors is an integer number (2682842013870).

Almost surely, 2^{101001111011200} is an apocalyptic number.

101001111011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001111011200 is an abundant number, since it is smaller than the sum of its proper divisors (156551722320320).

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

101001111011200 is a wasteful number, since it uses less digits than its factorization.

101001111011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018156416 (or 1018156399 counting only the distinct ones).

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

Adding to 101001111011200 its reverse (2110111100101), we get a palindrome (103111222111301).

The spelling of 101001111011200 in words is "one hundred one trillion, one billion, one hundred eleven million, eleven thousand, two hundred".