100517210016 has 48 divisors (see below), whose sum is σ = 266192728704. Its totient is φ = 33209222144.

The previous prime is 100517209973. The next prime is 100517210047. The reversal of 100517210016 is 610012715001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4622136 + ... + 4643831.

It is an arithmetic number, because the mean of its divisors is an integer number (5545681848).

Almost surely, 2^100517210016 is an apocalyptic number.

100517210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100517210016 is an abundant number, since it is smaller than the sum of its proper divisors (165675518688).

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

100517210016 is a wasteful number, since it uses less digits than its factorization.

100517210016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266093 (or 9266085 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 100517210016 its reverse (610012715001), we get a palindrome (710529925017).

The spelling of 100517210016 in words is "one hundred billion, five hundred seventeen million, two hundred ten thousand, sixteen".