11200010312100 has 72 divisors (see below), whose sum is σ = 32611766893888. Its totient is φ = 2967646032000.

The previous prime is 11200010312083. The next prime is 11200010312111. The reversal of 11200010312100 is 121301000211.

11200010312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11200010312100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118848976 + ... + 118943175.

Almost surely, 2^{11200010312100} is an apocalyptic number.

11200010312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200010312100 is an abundant number, since it is smaller than the sum of its proper divisors (21411756581788).

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

11200010312100 is a wasteful number, since it uses less digits than its factorization.

11200010312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237792325 (or 237792318 counting only the distinct ones).

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

Adding to 11200010312100 its reverse (121301000211), we get a palindrome (11321311312311).

The spelling of 11200010312100 in words is "eleven trillion, two hundred billion, ten million, three hundred twelve thousand, one hundred".