220212211010100 has 72 divisors (see below), whose sum is σ = 645212486674560. Its totient is φ = 57979923905280.

The previous prime is 220212211010027. The next prime is 220212211010101. The reversal of 220212211010100 is 1010112212022.

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 220212211010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212211010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645803537 + ... + 4645850936.

Almost surely, 2^{220212211010100} is an apocalyptic number.

220212211010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212211010100 is an abundant number, since it is smaller than the sum of its proper divisors (425000275664460).

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

220212211010100 is a wasteful number, since it uses less digits than its factorization.

220212211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291654569 (or 9291654562 counting only the distinct ones).

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

Adding to 220212211010100 its reverse (1010112212022), we get a palindrome (221222323222122).

The spelling of 220212211010100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred eleven million, ten thousand, one hundred".