220221112012100 has 144 divisors (see below), whose sum is σ = 493826833059840. Its totient is φ = 85155074457600.

The previous prime is 220221112012091. The next prime is 220221112012133. The reversal of 220221112012100 is 1210211122022.

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, 13993835432 + ... + 13993851168.

It is an arithmetic number, because the mean of its divisors is an integer number (3429353007360).

Almost surely, 2^{220221112012100} is an apocalyptic number.

220221112012100 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 220221112012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246913416529920).

220221112012100 is an abundant number, since it is smaller than the sum of its proper divisors (273605721047740).

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

220221112012100 is a wasteful number, since it uses less digits than its factorization.

220221112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20358 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220221112012100 its reverse (1210211122022), we get a palindrome (221431323134122).

The spelling of 220221112012100 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred".