100216756700 has 72 divisors (see below), whose sum is σ = 218388595152. Its totient is φ = 39917767680.

The previous prime is 100216756681. The next prime is 100216756709. The reversal of 100216756700 is 7657612001.

It is a super-4 number, since 4×100216756700⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100216756709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39191822 + ... + 39194378.

Almost surely, 2^100216756700 is an apocalyptic number.

100216756700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100216756700 is an abundant number, since it is smaller than the sum of its proper divisors (118171838452).

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

100216756700 is a wasteful number, since it uses less digits than its factorization.

100216756700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 100216756700 in words is "one hundred billion, two hundred sixteen million, seven hundred fifty-six thousand, seven hundred".