100152217410564 has 96 divisors (see below), whose sum is σ = 261860579398656. Its totient is φ = 29524670570880.

The previous prime is 100152217410563. The next prime is 100152217410599. The reversal of 100152217410564 is 465014712251001.

It is not an unprimeable number, because it can be changed into a prime (100152217410563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32636679 + ... + 35573265.

It is an arithmetic number, because the mean of its divisors is an integer number (2727714368736).

Almost surely, 2^{100152217410564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100152217410564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130930289699328).

100152217410564 is an abundant number, since it is smaller than the sum of its proper divisors (161708361988092).

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

100152217410564 is a wasteful number, since it uses less digits than its factorization.

100152217410564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943625 (or 2943623 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

Adding to 100152217410564 its reverse (465014712251001), we get a palindrome (565166929661565).

The spelling of 100152217410564 in words is "one hundred trillion, one hundred fifty-two billion, two hundred seventeen million, four hundred ten thousand, five hundred sixty-four".