101011760640 has 1280 divisors, whose sum is σ = 444057292800. Its totient is φ = 21254897664.

The previous prime is 101011760627. The next prime is 101011760651. The reversal of 101011760640 is 46067110101.

101011760640 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 17 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322721124 + ... + 322721436.

It is an arithmetic number, because the mean of its divisors is an integer number (346919760).

Almost surely, 2^101011760640 is an apocalyptic number.

101011760640 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 101011760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222028646400).

101011760640 is an abundant number, since it is smaller than the sum of its proper divisors (343045532160).

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

101011760640 is a wasteful number, since it uses less digits than its factorization.

101011760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 101011760640 its reverse (46067110101), we get a palindrome (147078870741).

The spelling of 101011760640 in words is "one hundred one billion, eleven million, seven hundred sixty thousand, six hundred forty".