100100101111110 has 96 divisors (see below), whose sum is σ = 275706729765792. Its totient is φ = 25110668989440.

The previous prime is 100100101111097. The next prime is 100100101111123. The reversal of 100100101111110 is 11111101001001.

It is an interprime number because it is at equal distance from previous prime (100100101111097) and next prime (100100101111123).

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

It is a junction number, because it is equal to n+sod(n) for n = 100100101111092 and 100100101111101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13189929 + ... + 19343588.

It is an arithmetic number, because the mean of its divisors is an integer number (2871945101727).

Almost surely, 2^{100100101111110} is an apocalyptic number.

100100101111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100101111110 is an abundant number, since it is smaller than the sum of its proper divisors (175606628654682).

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

100100101111110 is a wasteful number, since it uses less digits than its factorization.

100100101111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32535558 (or 32535555 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100100101111110 its reverse (11111101001001), we get a palindrome (111211202112111).

The spelling of 100100101111110 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred ten".