2111102311200 has 72 divisors (see below), whose sum is σ = 6871638030768. Its totient is φ = 562960615680.

The previous prime is 2111102311169. The next prime is 2111102311211. The reversal of 2111102311200 is 21132011112.

It is a super-3 number, since 3×2111102311200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2111102311200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439810582 + ... + 439815381.

It is an arithmetic number, because the mean of its divisors is an integer number (95439417094).

Almost surely, 2^{2111102311200} is an apocalyptic number.

2111102311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111102311200 is an abundant number, since it is smaller than the sum of its proper divisors (4760535719568).

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

2111102311200 is a wasteful number, since it uses less digits than its factorization.

2111102311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879625986 (or 879625973 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2111102311200 its reverse (21132011112), we get a palindrome (2132234322312).

The spelling of 2111102311200 in words is "two trillion, one hundred eleven billion, one hundred two million, three hundred eleven thousand, two hundred".