22211210100120 has 64 divisors (see below), whose sum is σ = 66642782123520. Its totient is φ = 5922175864704.

The previous prime is 22211210100113. The next prime is 22211210100127. The reversal of 22211210100120 is 2100101211222.

It is an interprime number because it is at equal distance from previous prime (22211210100113) and next prime (22211210100127).

It is a super-2 number, since 2×22211210100120² (a number of 27 digits) contains 22 as substring.

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 22211210100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211210100127) 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 15 ways as a sum of consecutive naturals, for example, 11833264 + ... + 13581183.

It is an arithmetic number, because the mean of its divisors is an integer number (1041293470680).

Almost surely, 2^{22211210100120} is an apocalyptic number.

22211210100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211210100120 is an abundant number, since it is smaller than the sum of its proper divisors (44431572023400).

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

22211210100120 is a wasteful number, since it uses less digits than its factorization.

22211210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421744 (or 25421740 counting only the distinct ones).

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

Adding to 22211210100120 its reverse (2100101211222), we get a palindrome (24311311311342).

The spelling of 22211210100120 in words is "twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred thousand, one hundred twenty".