101387208960 has 648 divisors, whose sum is σ = 372412744704. Its totient is φ = 25461596160.

The previous prime is 101387208953. The next prime is 101387209009. The reversal of 101387208960 is 69802783101.

101387208960 is a `hidden beast` number, since 1 + 0 + 1 + 387 + 208 + 9 + 60 = 666.

It is a super-2 number, since 2×101387208960² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 773948095 + ... + 773948225.

Almost surely, 2^101387208960 is an apocalyptic number.

101387208960 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 101387208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186206372352).

101387208960 is an abundant number, since it is smaller than the sum of its proper divisors (271025535744).

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

101387208960 is a wasteful number, since it uses less digits than its factorization.

101387208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101387208960 in words is "one hundred one billion, three hundred eighty-seven million, two hundred eight thousand, nine hundred sixty".