101209002882000 has 160 divisors (see below), whose sum is σ = 351397658277120. Its totient is φ = 24912985305600.

The previous prime is 101209002881983. The next prime is 101209002882077. The reversal of 101209002882000 is 288200902101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648697660 + ... + 648853659.

It is an arithmetic number, because the mean of its divisors is an integer number (2196235364232).

Almost surely, 2^{101209002882000} is an apocalyptic number.

101209002882000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101209002882000 is an abundant number, since it is smaller than the sum of its proper divisors (250188655395120).

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

101209002882000 is a wasteful number, since it uses less digits than its factorization.

101209002882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297551358 (or 1297551342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 101209002882000 in words is "one hundred one trillion, two hundred nine billion, two million, eight hundred eighty-two thousand".