211122202002100 has 72 divisors (see below), whose sum is σ = 460658435973120. Its totient is φ = 83984048302080.

The previous prime is 211122202002097. The next prime is 211122202002139. The reversal of 211122202002100 is 1200202221112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57727821 + ... + 61275979.

It is an arithmetic number, because the mean of its divisors is an integer number (6398033832960).

Almost surely, 2^{211122202002100} is an apocalyptic number.

211122202002100 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 211122202002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329217986560).

211122202002100 is an abundant number, since it is smaller than the sum of its proper divisors (249536233971020).

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

211122202002100 is a wasteful number, since it uses less digits than its factorization.

211122202002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551449 (or 3551442 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211122202002100 its reverse (1200202221112), we get a palindrome (212322404223212).

The spelling of 211122202002100 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred two million, two thousand, one hundred".