100120021112220 has 96 divisors (see below), whose sum is σ = 295142771347200. Its totient is φ = 25289006206464.

The previous prime is 100120021112213. The next prime is 100120021112227. The reversal of 100120021112220 is 22211120021001.

It is an interprime number because it is at equal distance from previous prime (100120021112213) and next prime (100120021112227).

It is a super-2 number, since 2×100120021112220² (a number of 29 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 100120021112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120021112227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313490 + ... + 14211449.

It is an arithmetic number, because the mean of its divisors is an integer number (3074403868200).

Almost surely, 2^{100120021112220} is an apocalyptic number.

100120021112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120021112220 is an abundant number, since it is smaller than the sum of its proper divisors (195022750234980).

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

100120021112220 is a wasteful number, since it uses less digits than its factorization.

100120021112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530627 (or 15530625 counting only the distinct ones).

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

Adding to 100120021112220 its reverse (22211120021001), we get a palindrome (122331141133221).

The spelling of 100120021112220 in words is "one hundred trillion, one hundred twenty billion, twenty-one million, one hundred twelve thousand, two hundred twenty".