101292871680 has 2080 divisors, whose sum is σ = 495523784448. Its totient is φ = 19110297600.

The previous prime is 101292871679. The next prime is 101292871681. The reversal of 101292871680 is 86178292101.

It is an interprime number because it is at equal distance from previous prime (101292871679) and next prime (101292871681).

It is a tau number, because it is divible by the number of its divisors (2080).

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

It is not an unprimeable number, because it can be changed into a prime (101292871681) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1660538850 + ... + 1660538910.

Almost surely, 2^101292871680 is an apocalyptic number.

101292871680 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 101292871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247761892224).

101292871680 is an abundant number, since it is smaller than the sum of its proper divisors (394230912768).

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

101292871680 is a wasteful number, since it uses less digits than its factorization.

101292871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 101292871680 in words is "one hundred one billion, two hundred ninety-two million, eight hundred seventy-one thousand, six hundred eighty".