101344291776 has 560 divisors, whose sum is σ = 391523622336. Its totient is φ = 25153929216.

The previous prime is 101344291753. The next prime is 101344291777. The reversal of 101344291776 is 677192443101.

It is a happy number.

101344291776 is a `hidden beast` number, since 10 + 1 + 344 + 291 + 7 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344291777) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8013330 + ... + 8025966.

Almost surely, 2^101344291776 is an apocalyptic number.

101344291776 is a gapful number since it is divisible by the number (16) 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 101344291776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195761811168).

101344291776 is an abundant number, since it is smaller than the sum of its proper divisors (290179330560).

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

101344291776 is a wasteful number, since it uses less digits than its factorization.

101344291776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12698 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 101344291776 in words is "one hundred one billion, three hundred forty-four million, two hundred ninety-one thousand, seven hundred seventy-six".