101100001110930 has 128 divisors (see below), whose sum is σ = 272467950854400. Its totient is φ = 26673386268672.

The previous prime is 101100001110929. The next prime is 101100001111019. The reversal of 101100001110930 is 39011100001101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80117716 + ... + 81369824.

It is an arithmetic number, because the mean of its divisors is an integer number (2128655866050).

Almost surely, 2^{101100001110930} is an apocalyptic number.

101100001110930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100001110930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136233975427200).

101100001110930 is an abundant number, since it is smaller than the sum of its proper divisors (171367949743470).

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

101100001110930 is a wasteful number, since it uses less digits than its factorization.

101100001110930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255305 (or 1255299 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 101100001110930 in words is "one hundred one trillion, one hundred billion, one million, one hundred ten thousand, nine hundred thirty".