100311012120 has 256 divisors, whose sum is σ = 331220275200. Its totient is φ = 24101795840.

The previous prime is 100311012101. The next prime is 100311012133. The reversal of 100311012120 is 21210113001.

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 = 100311012096 and 100311012105.

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, 116234809 + ... + 116235671.

It is an arithmetic number, because the mean of its divisors is an integer number (1293829200).

Almost surely, 2^100311012120 is an apocalyptic number.

100311012120 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 100311012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165610137600).

100311012120 is an abundant number, since it is smaller than the sum of its proper divisors (230909263080).

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

100311012120 is a wasteful number, since it uses less digits than its factorization.

100311012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

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

Adding to 100311012120 its reverse (21210113001), we get a palindrome (121521125121).

The spelling of 100311012120 in words is "one hundred billion, three hundred eleven million, twelve thousand, one hundred twenty".