2120211122100 has 144 divisors (see below), whose sum is σ = 6670879161408. Its totient is φ = 517749442560.

The previous prime is 2120211121999. The next prime is 2120211122101. The reversal of 2120211122100 is 12211120212.

It is a super-2 number, since 2×2120211122100² (a number of 25 digits) contains 22 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 2120211122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120211122101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5429242 + ... + 5806641.

It is an arithmetic number, because the mean of its divisors is an integer number (46325549732).

Almost surely, 2^{2120211122100} is an apocalyptic number.

2120211122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120211122100 is an abundant number, since it is smaller than the sum of its proper divisors (4550668039308).

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

2120211122100 is a wasteful number, since it uses less digits than its factorization.

2120211122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235954 (or 11235947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120211122100 its reverse (12211120212), we get a palindrome (2132422242312).

The spelling of 2120211122100 in words is "two trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".