101305620516400 has 30 divisors (see below), whose sum is σ = 243386753291612. Its totient is φ = 40522248206400.

The previous prime is 101305620516383. The next prime is 101305620516413. The reversal of 101305620516400 is 4615026503101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126632025246 + ... + 126632026045.

Almost surely, 2^{101305620516400} is an apocalyptic number.

101305620516400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101305620516400 is an abundant number, since it is smaller than the sum of its proper divisors (142081132775212).

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

101305620516400 is a wasteful number, since it uses less digits than its factorization.

101305620516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253264051309 (or 253264051298 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 101305620516400 in words is "one hundred one trillion, three hundred five billion, six hundred twenty million, five hundred sixteen thousand, four hundred".