100100101011100 has 18 divisors (see below), whose sum is σ = 217217219194304. Its totient is φ = 40040040404400.

The previous prime is 100100101011083. The next prime is 100100101011101. The reversal of 100100101011100 is 1110101001001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101011101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500500504956 + ... + 500500505155.

Almost surely, 2^{100100101011100} is an apocalyptic number.

100100101011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100101011100 is an abundant number, since it is smaller than the sum of its proper divisors (117117118183204).

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

100100101011100 is a wasteful number, since it uses less digits than its factorization.

100100101011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001001010125 (or 1001001010118 counting only the distinct ones).

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

Adding to 100100101011100 its reverse (1110101001001), we get a palindrome (101210202012101).

The spelling of 100100101011100 in words is "one hundred trillion, one hundred billion, one hundred one million, eleven thousand, one hundred".