2101111211100 has 72 divisors (see below), whose sum is σ = 6631871033088. Its totient is φ = 509360292800.

The previous prime is 2101111211053. The next prime is 2101111211107. The reversal of 2101111211100 is 11121111012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101111211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318346884 + ... + 318353483.

It is an arithmetic number, because the mean of its divisors is an integer number (92109319904).

Almost surely, 2^{2101111211100} is an apocalyptic number.

2101111211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101111211100 is an abundant number, since it is smaller than the sum of its proper divisors (4530759821988).

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

2101111211100 is a wasteful number, since it uses less digits than its factorization.

2101111211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636700395 (or 636700388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2101111211100 its reverse (11121111012), we get a palindrome (2112232322112).

The spelling of 2101111211100 in words is "two trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred".