101273880960 has 512 divisors, whose sum is σ = 411264000000. Its totient is φ = 23072366592.

The previous prime is 101273880893. The next prime is 101273881039. The reversal of 101273880960 is 69088372101.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42213841 + ... + 42216239.

It is an arithmetic number, because the mean of its divisors is an integer number (803250000).

Almost surely, 2^101273880960 is an apocalyptic number.

101273880960 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 101273880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000000).

101273880960 is an abundant number, since it is smaller than the sum of its proper divisors (309990119040).

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

101273880960 is a wasteful number, since it uses less digits than its factorization.

101273880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2765 counting only the distinct ones).

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

The spelling of 101273880960 in words is "one hundred one billion, two hundred seventy-three million, eight hundred eighty thousand, nine hundred sixty".