100212112020120 has 128 divisors (see below), whose sum is σ = 302180515876800. Its totient is φ = 26585985714176.

The previous prime is 100212112020089. The next prime is 100212112020121. The reversal of 100212112020120 is 21020211212001.

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 100212112020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212112020121) 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 31 ways as a sum of consecutive naturals, for example, 424385446 + ... + 424621514.

Almost surely, 2^{100212112020120} is an apocalyptic number.

100212112020120 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 100212112020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151090257938400).

100212112020120 is an abundant number, since it is smaller than the sum of its proper divisors (201968403856680).

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

100212112020120 is a wasteful number, since it uses less digits than its factorization.

100212112020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254237 (or 254233 counting only the distinct ones).

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

Adding to 100212112020120 its reverse (21020211212001), we get a palindrome (121232323232121).

The spelling of 100212112020120 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, twenty thousand, one hundred twenty".