2120221112100 has 288 divisors, whose sum is σ = 7754223864576. Its totient is φ = 435252787200.

The previous prime is 2120221112071. The next prime is 2120221112123. The reversal of 2120221112100 is 12111220212.

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 2120221112100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39411 + ... + 2059610.

Almost surely, 2^{2120221112100} is an apocalyptic number.

2120221112100 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 2120221112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877111932288).

2120221112100 is an abundant number, since it is smaller than the sum of its proper divisors (5634002752476).

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

2120221112100 is a wasteful number, since it uses less digits than its factorization.

2120221112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099095 (or 2099088 counting only the distinct ones).

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

Adding to 2120221112100 its reverse (12111220212), we get a palindrome (2132332332312).

The spelling of 2120221112100 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".