100101000011100 has 144 divisors (see below), whose sum is σ = 334540754021376. Its totient is φ = 22839443840000.

The previous prime is 100101000011093. The next prime is 100101000011149. The reversal of 100101000011100 is 1110000101001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892109676 + ... + 892221875.

It is an arithmetic number, because the mean of its divisors is an integer number (2323199680704).

Almost surely, 2^{100101000011100} is an apocalyptic number.

100101000011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101000011100 is an abundant number, since it is smaller than the sum of its proper divisors (234439754010276).

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

100101000011100 is a wasteful number, since it uses less digits than its factorization.

100101000011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784331596 (or 1784331589 counting only the distinct ones).

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

Adding to 100101000011100 its reverse (1110000101001), we get a palindrome (101211000112101).

The spelling of 100101000011100 in words is "one hundred trillion, one hundred one billion, eleven thousand, one hundred".