100101011110100 has 144 divisors (see below), whose sum is σ = 291650946228096. Its totient is φ = 28800290880000.

The previous prime is 100101011110099. The next prime is 100101011110123. The reversal of 100101011110100 is 1011110101001.

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 47 ways as a sum of consecutive naturals, for example, 499904951 + ... + 500105150.

Almost surely, 2^{100101011110100} is an apocalyptic number.

100101011110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101011110100 is an abundant number, since it is smaller than the sum of its proper divisors (191549935117996).

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

100101011110100 is a wasteful number, since it uses less digits than its factorization.

100101011110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000010146 (or 1000010139 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101011110100 its reverse (1011110101001), we get a palindrome (101112121211101).

The spelling of 100101011110100 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred ten thousand, one hundred".