100221164251032 has 256 divisors, whose sum is σ = 281051953459200. Its totient is φ = 29519123719680.

The previous prime is 100221164251009. The next prime is 100221164251081. The reversal of 100221164251032 is 230152461122001.

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, 6279907069 + ... + 6279923027.

It is an arithmetic number, because the mean of its divisors is an integer number (1097859193200).

Almost surely, 2^{100221164251032} is an apocalyptic number.

100221164251032 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 100221164251032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140525976729600).

100221164251032 is an abundant number, since it is smaller than the sum of its proper divisors (180830789208168).

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

100221164251032 is a wasteful number, since it uses less digits than its factorization.

100221164251032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18686 (or 18682 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 100221164251032 in words is "one hundred trillion, two hundred twenty-one billion, one hundred sixty-four million, two hundred fifty-one thousand, thirty-two".