100938384245712 has 480 divisors, whose sum is σ = 313049526214656. Its totient is φ = 27811921536000.

The previous prime is 100938384245653. The next prime is 100938384245771. The reversal of 100938384245712 is 217542483839001.

It is an interprime number because it is at equal distance from previous prime (100938384245653) and next prime (100938384245771).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300108837 + ... + 300444987.

Almost surely, 2^{100938384245712} is an apocalyptic number.

100938384245712 is a gapful number since it is divisible by the number (12) 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 100938384245712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156524763107328).

100938384245712 is an abundant number, since it is smaller than the sum of its proper divisors (212111141968944).

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

100938384245712 is a wasteful number, since it uses less digits than its factorization.

100938384245712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336287 (or 336262 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 100938384245712 in words is "one hundred trillion, nine hundred thirty-eight billion, three hundred eighty-four million, two hundred forty-five thousand, seven hundred twelve".