100100100010100 has 36 divisors (see below), whose sum is σ = 217324273754700. Its totient is φ = 40020306044160.

The previous prime is 100100100010091. The next prime is 100100100010117. The reversal of 100100100010100 is 1010001001001.

It can be written as a sum of positive squares in 6 ways, for example, as 335041853584 + 99765058156516 = 578828^2 + 9988246^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246470585 + ... + 246876384.

It is an arithmetic number, because the mean of its divisors is an integer number (6036785382075).

Almost surely, 2^{100100100010100} is an apocalyptic number.

100100100010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100100010100 is an abundant number, since it is smaller than the sum of its proper divisors (117224173744600).

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

100100100010100 is a wasteful number, since it uses less digits than its factorization.

100100100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493349012 (or 493349005 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100100010100 its reverse (1010001001001), we get a palindrome (101110101011101).

Subtracting from 100100100010100 its reverse (1010001001001), we obtain a palindrome (99090099009099).

The spelling of 100100100010100 in words is "one hundred trillion, one hundred billion, one hundred million, ten thousand, one hundred".