11211120112100 has 36 divisors (see below), whose sum is σ = 24330620050548. Its totient is φ = 4483989168000.

The previous prime is 11211120112061. The next prime is 11211120112133. The reversal of 11211120112100 is 121102111211.

It can be written as a sum of positive squares in 6 ways, for example, as 74363108416 + 11136757003684 = 272696^2 + 3337178^2 .

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, 4752971 + ... + 6709170.

Almost surely, 2^{11211120112100} is an apocalyptic number.

11211120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211120112100 is an abundant number, since it is smaller than the sum of its proper divisors (13119499938448).

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

11211120112100 is a wasteful number, since it uses less digits than its factorization.

11211120112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471936 (or 11471929 counting only the distinct ones).

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

Adding to 11211120112100 its reverse (121102111211), we get a palindrome (11332222223311).

The spelling of 11211120112100 in words is "eleven trillion, two hundred eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred".