100217346612 has 96 divisors (see below), whose sum is σ = 250172737920. Its totient is φ = 31114137600.

The previous prime is 100217346601. The next prime is 100217346641. The reversal of 100217346612 is 216643712001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28396464 + ... + 28399992.

It is an arithmetic number, because the mean of its divisors is an integer number (2605966020).

Almost surely, 2^100217346612 is an apocalyptic number.

100217346612 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 100217346612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125086368960).

100217346612 is an abundant number, since it is smaller than the sum of its proper divisors (149955391308).

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

100217346612 is a wasteful number, since it uses less digits than its factorization.

100217346612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 100217346612 in words is "one hundred billion, two hundred seventeen million, three hundred forty-six thousand, six hundred twelve".