12220000010100 has 108 divisors (see below), whose sum is σ = 38733281184780. Its totient is φ = 3222052416000.

The previous prime is 12220000010089. The next prime is 12220000010107. The reversal of 12220000010100 is 101000002221.

It can be written as a sum of positive squares in 6 ways, for example, as 70439283216 + 12149560726884 = 265404^2 + 3485622^2 .

It is a super-4 number, since 4×12220000010100⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220000010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76199551 + ... + 76359750.

Almost surely, 2^{12220000010100} is an apocalyptic number.

12220000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220000010100 is an abundant number, since it is smaller than the sum of its proper divisors (26513281174680).

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

12220000010100 is a wasteful number, since it uses less digits than its factorization.

12220000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152559410 (or 152559400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12220000010100 its reverse (101000002221), we get a palindrome (12321000012321).

The spelling of 12220000010100 in words is "twelve trillion, two hundred twenty billion, ten thousand, one hundred".