100231011002000 has 40 divisors (see below), whose sum is σ = 242358584607672. Its totient is φ = 40092404400000.

The previous prime is 100231011001921. The next prime is 100231011002021. The reversal of 100231011002000 is 200110132001.

It can be written as a sum of positive squares in 4 ways, for example, as 103290246544 + 100127720755456 = 321388^2 + 10006384^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25057750751 + ... + 25057754750.

Almost surely, 2^{100231011002000} is an apocalyptic number.

100231011002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231011002000 is an abundant number, since it is smaller than the sum of its proper divisors (142127573605672).

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

100231011002000 is an equidigital number, since it uses as much as digits as its factorization.

100231011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50115505524 (or 50115505508 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100231011002000 its reverse (200110132001), we get a palindrome (100431121134001).

The spelling of 100231011002000 in words is "one hundred trillion, two hundred thirty-one billion, eleven million, two thousand".