100131001010100 has 54 divisors (see below), whose sum is σ = 313855059835590. Its totient is φ = 26701600269120.

The previous prime is 100131001010093. The next prime is 100131001010101. The reversal of 100131001010100 is 1010100131001.

It can be written as a sum of positive squares in 3 ways, for example, as 31359507201936 + 68771493808164 = 5599956^2 + 8292858^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131001010101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 55628332995 + ... + 55628334794.

Almost surely, 2^{100131001010100} is an apocalyptic number.

100131001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131001010100 is an abundant number, since it is smaller than the sum of its proper divisors (213724058825490).

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

100131001010100 is a wasteful number, since it uses less digits than its factorization.

100131001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111256667809 (or 111256667799 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100131001010100 its reverse (1010100131001), we get a palindrome (101141101141101).

The spelling of 100131001010100 in words is "one hundred trillion, one hundred thirty-one billion, one million, ten thousand, one hundred".