100104100414000 has 80 divisors (see below), whose sum is σ = 242228789240256. Its totient is φ = 40012347456000.

The previous prime is 100104100413943. The next prime is 100104100414001. The reversal of 100104100414000 is 414001401001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100104100414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15573261 + ... + 21041260.

Almost surely, 2^{100104100414000} is an apocalyptic number.

100104100414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100104100414000 is an abundant number, since it is smaller than the sum of its proper divisors (142124688826256).

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

100104100414000 is a wasteful number, since it uses less digits than its factorization.

100104100414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36615911 (or 36615895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100104100414000 its reverse (414001401001), we get a palindrome (100518101815001).

The spelling of 100104100414000 in words is "one hundred trillion, one hundred four billion, one hundred million, four hundred fourteen thousand".