100415142544120 has 64 divisors (see below), whose sum is σ = 228200849043840. Its totient is φ = 39763178112000.

The previous prime is 100415142544097. The next prime is 100415142544133. The reversal of 100415142544120 is 21445241514001.

It is a super-2 number, since 2×100415142544120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29379265 + ... + 32618575.

It is an arithmetic number, because the mean of its divisors is an integer number (3565638266310).

Almost surely, 2^{100415142544120} is an apocalyptic number.

100415142544120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100415142544120 is an abundant number, since it is smaller than the sum of its proper divisors (127785706499720).

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

100415142544120 is a wasteful number, since it uses less digits than its factorization.

100415142544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247096 (or 3247092 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The spelling of 100415142544120 in words is "one hundred trillion, four hundred fifteen billion, one hundred forty-two million, five hundred forty-four thousand, one hundred twenty".