100120001012220 has 144 divisors (see below), whose sum is σ = 326138384517120. Its totient is φ = 22882239144576.

The previous prime is 100120001012219. The next prime is 100120001012221. The reversal of 100120001012220 is 22210100021001.

It is an interprime number because it is at equal distance from previous prime (100120001012219) and next prime (100120001012221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100120001012196 and 100120001012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120001012221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27196077 + ... + 30657243.

It is an arithmetic number, because the mean of its divisors is an integer number (2264849892480).

Almost surely, 2^{100120001012220} is an apocalyptic number.

100120001012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120001012220 is an abundant number, since it is smaller than the sum of its proper divisors (226018383504900).

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

100120001012220 is a wasteful number, since it uses less digits than its factorization.

100120001012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471032 (or 3471023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120001012220 its reverse (22210100021001), we get a palindrome (122330101033221).

The spelling of 100120001012220 in words is "one hundred trillion, one hundred twenty billion, one million, twelve thousand, two hundred twenty".