100302031114000 has 40 divisors (see below), whose sum is σ = 242530311238488. Its totient is φ = 40120812444800.

The previous prime is 100302031113979. The next prime is 100302031114039. The reversal of 100302031114000 is 411130203001.

It can be written as a sum of positive squares in 4 ways, for example, as 729732811536 + 99572298302464 = 854244^2 + 9978592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 25075505779 + ... + 25075509778.

Almost surely, 2^{100302031114000} is an apocalyptic number.

100302031114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100302031114000 is an abundant number, since it is smaller than the sum of its proper divisors (142228280124488).

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

100302031114000 is an equidigital number, since it uses as much as digits as its factorization.

100302031114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50151015580 (or 50151015564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100302031114000 its reverse (411130203001), we get a palindrome (100713161317001).

The spelling of 100302031114000 in words is "one hundred trillion, three hundred two billion, thirty-one million, one hundred fourteen thousand".