100101216560 has 20 divisors (see below), whose sum is σ = 232735328688. Its totient is φ = 40040486592.

The previous prime is 100101216557. The next prime is 100101216563. The reversal of 100101216560 is 65612101001.

It is an interprime number because it is at equal distance from previous prime (100101216557) and next prime (100101216563).

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (100101216563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625632524 + ... + 625632683.

Almost surely, 2^100101216560 is an apocalyptic number.

100101216560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101216560 is an abundant number, since it is smaller than the sum of its proper divisors (132634112128).

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

100101216560 is a wasteful number, since it uses less digits than its factorization.

100101216560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251265220 (or 1251265214 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 100101216560 its reverse (65612101001), we get a palindrome (165713317561).

The spelling of 100101216560 in words is "one hundred billion, one hundred one million, two hundred sixteen thousand, five hundred sixty".