101110001000100 has 144 divisors (see below), whose sum is σ = 292722438523200. Its totient is φ = 26946312376320.

The previous prime is 101110001000087. The next prime is 101110001000117. The reversal of 101110001000100 is 1000100011101.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4225404936 + ... + 4225428864.

Almost surely, 2^{101110001000100} is an apocalyptic number.

101110001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110001000100 is an abundant number, since it is smaller than the sum of its proper divisors (191612437523100).

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

101110001000100 is a wasteful number, since it uses less digits than its factorization.

101110001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31902 (or 31895 counting only the distinct ones).

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

Adding to 101110001000100 its reverse (1000100011101), we get a palindrome (102110101011201).

The spelling of 101110001000100 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred", and thus it is an aban number.