2111202101100 has 144 divisors (see below), whose sum is σ = 6437105498880. Its totient is φ = 533177568000.

The previous prime is 2111202101053. The next prime is 2111202101149. The reversal of 2111202101100 is 11012021112.

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 47 ways as a sum of consecutive naturals, for example, 817810 + ... + 2211609.

It is an arithmetic number, because the mean of its divisors is an integer number (44702121520).

Almost surely, 2^{2111202101100} is an apocalyptic number.

2111202101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111202101100 is an abundant number, since it is smaller than the sum of its proper divisors (4325903397780).

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

2111202101100 is a wasteful number, since it uses less digits than its factorization.

2111202101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029560 (or 3029553 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111202101100 its reverse (11012021112), we get a palindrome (2122214122212).

The spelling of 2111202101100 in words is "two trillion, one hundred eleven billion, two hundred two million, one hundred one thousand, one hundred".