101148238080 has 180 divisors, whose sum is σ = 361927263852. Its totient is φ = 26972835840.

The previous prime is 101148238067. The next prime is 101148238099. The reversal of 101148238080 is 80832841101.

101148238080 is a `hidden beast` number, since 10 + 11 + 482 + 3 + 80 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32763896064 + 68384342016 = 181008^2 + 261504^2 .

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 (36).

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, 384111 + ... + 591470.

Almost surely, 2^101148238080 is an apocalyptic number.

101148238080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101148238080 is an abundant number, since it is smaller than the sum of its proper divisors (260779025772).

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

101148238080 is an frugal number, since it uses more digits than its factorization.

101148238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975614 (or 975591 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 101148238080 in words is "one hundred one billion, one hundred forty-eight million, two hundred thirty-eight thousand, eighty".