100111010010100 has 18 divisors (see below), whose sum is σ = 217240891722134. Its totient is φ = 40044404004000.

The previous prime is 100111010010023. The next prime is 100111010010157. The reversal of 100111010010100 is 1010010111001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 32475090510864 + 67635919499236 = 5698692^2 + 8224106^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 500555049951 + ... + 500555050150.

Almost surely, 2^{100111010010100} is an apocalyptic number.

100111010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111010010100 is an abundant number, since it is smaller than the sum of its proper divisors (117129881712034).

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

100111010010100 is a wasteful number, since it uses less digits than its factorization.

100111010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001110100115 (or 1001110100108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111010010100 its reverse (1010010111001), we get a palindrome (101121020121101).

The spelling of 100111010010100 in words is "one hundred trillion, one hundred eleven billion, ten million, ten thousand, one hundred".