100091584117010 has 16 divisors (see below), whose sum is σ = 180165227711256. Its totient is φ = 40036550024448.

The previous prime is 100091584116949. The next prime is 100091584117069. The reversal of 100091584117010 is 10711485190001.

It can be written as a sum of positive squares in 4 ways, for example, as 42155114333809 + 57936469783201 = 6492697^2 + 7611601^2 .

It is a super-2 number, since 2×100091584117010² (a number of 29 digits) contains 22 as substring.

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, 5304887 + ... + 15110426.

Almost surely, 2^{100091584117010} is an apocalyptic number.

100091584117010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100091584117010 is a deficient number, since it is larger than the sum of its proper divisors (80073643594246).

100091584117010 is a wasteful number, since it uses less digits than its factorization.

100091584117010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20905597.

The product of its (nonzero) digits is 10080, while the sum is 38.

The spelling of 100091584117010 in words is "one hundred trillion, ninety-one billion, five hundred eighty-four million, one hundred seventeen thousand, ten".