101573015040 has 1600 divisors, whose sum is σ = 456313651200. Its totient is φ = 21069103104.

The previous prime is 101573015009. The next prime is 101573015147. The reversal of 101573015040 is 40510375101.

101573015040 is a `hidden beast` number, since 1 + 0 + 1 + 573 + 0 + 1 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101573014995 and 101573015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 799787457 + ... + 799787583.

It is an arithmetic number, because the mean of its divisors is an integer number (285196032).

Almost surely, 2^101573015040 is an apocalyptic number.

101573015040 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 101573015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228156825600).

101573015040 is an abundant number, since it is smaller than the sum of its proper divisors (354740636160).

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

101573015040 is a wasteful number, since it uses less digits than its factorization.

101573015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 101573015040 in words is "one hundred one billion, five hundred seventy-three million, fifteen thousand, forty".