101178097920 has 180 divisors, whose sum is σ = 362034107820. Its totient is φ = 26980798464.

The previous prime is 101178097907. The next prime is 101178097961. The reversal of 101178097920 is 29790871101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63721914624 + 37456183296 = 252432^2 + 193536^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384255 + ... + 591614.

It is an arithmetic number, because the mean of its divisors is an integer number (2011300599).

Almost surely, 2^101178097920 is an apocalyptic number.

101178097920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101178097920 is an abundant number, since it is smaller than the sum of its proper divisors (260856009900).

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

101178097920 is an frugal number, since it uses more digits than its factorization.

101178097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975902 (or 975879 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 101178097920 in words is "one hundred one billion, one hundred seventy-eight million, ninety-seven thousand, nine hundred twenty".