100212000012120 has 256 divisors, whose sum is σ = 310721808983040. Its totient is φ = 25835967940608.

The previous prime is 100212000012037. The next prime is 100212000012143. The reversal of 100212000012120 is 21210000212001.

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 = 100212000012096 and 100212000012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2196982434 + ... + 2197028046.

It is an arithmetic number, because the mean of its divisors is an integer number (1213757066340).

Almost surely, 2^{100212000012120} is an apocalyptic number.

100212000012120 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 100212000012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155360904491520).

100212000012120 is an abundant number, since it is smaller than the sum of its proper divisors (210509808970920).

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

100212000012120 is a wasteful number, since it uses less digits than its factorization.

100212000012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48794 (or 48790 counting only the distinct ones).

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

Adding to 100212000012120 its reverse (21210000212001), we get a palindrome (121422000224121).

The spelling of 100212000012120 in words is "one hundred trillion, two hundred twelve billion, twelve thousand, one hundred twenty".