101283392000 has 240 divisors, whose sum is σ = 293799273768. Its totient is φ = 34724659200.

The previous prime is 101283391991. The next prime is 101283392029. The reversal of 101283392000 is 293382101.

It can be written as a sum of positive squares in 4 ways, for example, as 59778294016 + 41505097984 = 244496^2 + 203728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3119852 + ... + 3152148.

Almost surely, 2^101283392000 is an apocalyptic number.

101283392000 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 101283392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146899636884).

101283392000 is an abundant number, since it is smaller than the sum of its proper divisors (192515881768).

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

101283392000 is an frugal number, since it uses more digits than its factorization.

101283392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32344 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 101283392000 in words is "one hundred one billion, two hundred eighty-three million, three hundred ninety-two thousand".