101263120560 has 480 divisors, whose sum is σ = 398554490880. Its totient is φ = 22560602112.

The previous prime is 101263120531. The next prime is 101263120597. The reversal of 101263120560 is 65021362101.

101263120560 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 631 + 20 + 5 + 6 + 0 = 666.

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, 69405111 + ... + 69406569.

It is an arithmetic number, because the mean of its divisors is an integer number (830321856).

Almost surely, 2^101263120560 is an apocalyptic number.

101263120560 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 101263120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199277245440).

101263120560 is an abundant number, since it is smaller than the sum of its proper divisors (297291370320).

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

101263120560 is a wasteful number, since it uses less digits than its factorization.

101263120560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 101263120560 its reverse (65021362101), we get a palindrome (166284482661).

The spelling of 101263120560 in words is "one hundred one billion, two hundred sixty-three million, one hundred twenty thousand, five hundred sixty".