100100101110 has 32 divisors (see below), whose sum is σ = 242618866272. Its totient is φ = 26429068800.

The previous prime is 100100101051. The next prime is 100100101111. The reversal of 100100101110 is 11101001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16515139 + ... + 16521198.

It is an arithmetic number, because the mean of its divisors is an integer number (7581839571).

Almost surely, 2^100100101110 is an apocalyptic number.

100100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100101110 is an abundant number, since it is smaller than the sum of its proper divisors (142518765162).

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

100100101110 is a wasteful number, since it uses less digits than its factorization.

100100101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33036448.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100101110 its reverse (11101001001), we get a palindrome (111201102111).

The spelling of 100100101110 in words is "one hundred billion, one hundred million, one hundred one thousand, one hundred ten".