101150380240 has 480 divisors, whose sum is σ = 300100792320. Its totient is φ = 31034824704.

The previous prime is 101150380207. The next prime is 101150380333. The reversal of 101150380240 is 42083051101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620554399 + ... + 620554561.

It is an arithmetic number, because the mean of its divisors is an integer number (625209984).

Almost surely, 2^101150380240 is an apocalyptic number.

101150380240 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 101150380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150050396160).

101150380240 is an abundant number, since it is smaller than the sum of its proper divisors (198950412080).

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

101150380240 is a wasteful number, since it uses less digits than its factorization.

101150380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 101150380240 in words is "one hundred one billion, one hundred fifty million, three hundred eighty thousand, two hundred forty".