101112101102100 has 144 divisors (see below), whose sum is σ = 319157958208320. Its totient is φ = 24511149004800.

The previous prime is 101112101102017. The next prime is 101112101102113. The reversal of 101112101102100 is 1201101211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 94352086 + ... + 95417714.

It is an arithmetic number, because the mean of its divisors is an integer number (2216374709780).

Almost surely, 2^{101112101102100} is an apocalyptic number.

101112101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112101102100 is an abundant number, since it is smaller than the sum of its proper divisors (218045857106220).

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

101112101102100 is a wasteful number, since it uses less digits than its factorization.

101112101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094410 (or 1094403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112101102100 its reverse (1201101211101), we get a palindrome (102313202313201).

The spelling of 101112101102100 in words is "one hundred one trillion, one hundred twelve billion, one hundred one million, one hundred two thousand, one hundred".