101106475722520 has 128 divisors (see below), whose sum is σ = 245971819468800. Its totient is φ = 37272887548416.

The previous prime is 101106475722503. The next prime is 101106475722547. The reversal of 101106475722520 is 25227574601101.

101106475722520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188220157 + ... + 188756563.

It is an arithmetic number, because the mean of its divisors is an integer number (1921654839600).

Almost surely, 2^{101106475722520} is an apocalyptic number.

101106475722520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101106475722520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122985909734400).

101106475722520 is an abundant number, since it is smaller than the sum of its proper divisors (144865343746280).

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

101106475722520 is a wasteful number, since it uses less digits than its factorization.

101106475722520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543177 (or 543173 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 101106475722520 in words is "one hundred one trillion, one hundred six billion, four hundred seventy-five million, seven hundred twenty-two thousand, five hundred twenty".