101029230720 has 768 divisors, whose sum is σ = 396886896000. Its totient is φ = 24269414400.

The previous prime is 101029230719. The next prime is 101029230751. The reversal of 101029230720 is 27032920101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441175566 + ... + 441175794.

Almost surely, 2^101029230720 is an apocalyptic number.

101029230720 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 101029230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198443448000).

101029230720 is an abundant number, since it is smaller than the sum of its proper divisors (295857665280).

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

101029230720 is a wasteful number, since it uses less digits than its factorization.

101029230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 101029230720 in words is "one hundred one billion, twenty-nine million, two hundred thirty thousand, seven hundred twenty".