2220120012100 has 36 divisors (see below), whose sum is σ = 4823615682900. Its totient is φ = 886950261760.

The previous prime is 2220120012079. The next prime is 2220120012109. The reversal of 2220120012100 is 12100210222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9599296576 + 2210520715524 = 97976^2 + 1486782^2 .

It is not an unprimeable number, because it can be changed into a prime (2220120012109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13640485 + ... + 13802284.

It is an arithmetic number, because the mean of its divisors is an integer number (133989324525).

Almost surely, 2^{2220120012100} is an apocalyptic number.

2220120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220120012100 is an abundant number, since it is smaller than the sum of its proper divisors (2603495670800).

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

2220120012100 is a wasteful number, since it uses less digits than its factorization.

2220120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27443592 (or 27443585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2220120012100 its reverse (12100210222), we get a palindrome (2232220222322).

The spelling of 2220120012100 in words is "two trillion, two hundred twenty billion, one hundred twenty million, twelve thousand, one hundred".