220212021012100 has 72 divisors (see below), whose sum is σ = 516093106512200. Its totient is φ = 81076076513280.

The previous prime is 220212021012047. The next prime is 220212021012101. The reversal of 220212021012100 is 1210120212022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13608366858304 + 206603654153796 = 3688952^2 + 14373714^2 .

It is not an unprimeable number, because it can be changed into a prime (220212021012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242230917 + ... + 243138316.

Almost surely, 2^{220212021012100} is an apocalyptic number.

220212021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212021012100 is an abundant number, since it is smaller than the sum of its proper divisors (295881085500100).

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

220212021012100 is a wasteful number, since it uses less digits than its factorization.

220212021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485369609 (or 485369602 counting only the distinct ones).

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

Adding to 220212021012100 its reverse (1210120212022), we get a palindrome (221422141224122).

The spelling of 220212021012100 in words is "two hundred twenty trillion, two hundred twelve billion, twenty-one million, twelve thousand, one hundred".