101282816880 has 160 divisors (see below), whose sum is σ = 398700672000. Its totient is φ = 23150354688.

The previous prime is 101282816879. The next prime is 101282816909. The reversal of 101282816880 is 88618282101.

It is a super-2 number, since 2×101282816880² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3334180 + ... + 3364419.

It is an arithmetic number, because the mean of its divisors is an integer number (2491879200).

Almost surely, 2^101282816880 is an apocalyptic number.

101282816880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101282816880 is an abundant number, since it is smaller than the sum of its proper divisors (297417855120).

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

101282816880 is a wasteful number, since it uses less digits than its factorization.

101282816880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6698628 (or 6698616 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 101282816880 in words is "one hundred one billion, two hundred eighty-two million, eight hundred sixteen thousand, eight hundred eighty".