2111211202100 has 576 divisors, whose sum is σ = 6296330342400. Its totient is φ = 605523340800.

The previous prime is 2111211202043. The next prime is 2111211202117. The reversal of 2111211202100 is 12021121112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2565262289 + ... + 2565263111.

Almost surely, 2^{2111211202100} is an apocalyptic number.

2111211202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111211202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148165171200).

2111211202100 is an abundant number, since it is smaller than the sum of its proper divisors (4185119140300).

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

2111211202100 is a wasteful number, since it uses less digits than its factorization.

2111211202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111211202100 its reverse (12021121112), we get a palindrome (2123232323212).

The spelling of 2111211202100 in words is "two trillion, one hundred eleven billion, two hundred eleven million, two hundred two thousand, one hundred".