100120012212120 has 128 divisors (see below), whose sum is σ = 301847931000000. Its totient is φ = 26566590136320.

The previous prime is 100120012212109. The next prime is 100120012212127. The reversal of 100120012212120 is 21212210021001.

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 100120012212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120012212127) 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, 34735186 + ... + 37506974.

Almost surely, 2^{100120012212120} is an apocalyptic number.

100120012212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120012212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150923965500000).

100120012212120 is an abundant number, since it is smaller than the sum of its proper divisors (201727918787880).

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

100120012212120 is a wasteful number, since it uses less digits than its factorization.

100120012212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773293 (or 2773289 counting only the distinct ones).

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

Adding to 100120012212120 its reverse (21212210021001), we get a palindrome (121332222233121).

The spelling of 100120012212120 in words is "one hundred trillion, one hundred twenty billion, twelve million, two hundred twelve thousand, one hundred twenty".