220211120012100 has 144 divisors (see below), whose sum is σ = 728273937568128. Its totient is φ = 50326424156160.

The previous prime is 220211120012099. The next prime is 220211120012119. The reversal of 220211120012100 is 1210021112022.

220211120012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 220211120012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6156082 + ... + 21870518.

Almost surely, 2^{220211120012100} is an apocalyptic number.

220211120012100 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 220211120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364136968784064).

220211120012100 is an abundant number, since it is smaller than the sum of its proper divisors (508062817556028).

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

220211120012100 is a wasteful number, since it uses less digits than its factorization.

220211120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15721134 (or 15721127 counting only the distinct ones).

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

Adding to 220211120012100 its reverse (1210021112022), we get a palindrome (221421141124122).

The spelling of 220211120012100 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred twenty million, twelve thousand, one hundred".