101107711040 has 56 divisors (see below), whose sum is σ = 275157419712. Its totient is φ = 34665500160.

The previous prime is 101107711039. The next prime is 101107711057. The reversal of 101107711040 is 40117701101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 101107710997 and 101107711015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22566446 + ... + 22570925.

It is an arithmetic number, because the mean of its divisors is an integer number (4913525352).

Almost surely, 2^101107711040 is an apocalyptic number.

101107711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101107711040 is an abundant number, since it is smaller than the sum of its proper divisors (174049708672).

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

101107711040 is an equidigital number, since it uses as much as digits as its factorization.

101107711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45137395 (or 45137385 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 23.

The spelling of 101107711040 in words is "one hundred one billion, one hundred seven million, seven hundred eleven thousand, forty".