101000320203120 has 320 divisors, whose sum is σ = 358378265656320. Its totient is φ = 23324438716416.

The previous prime is 101000320203061. The next prime is 101000320203161. The reversal of 101000320203120 is 21302023000101.

It is a super-2 number, since 2×101000320203120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101000320203120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2164957 + ... + 14376636.

It is an arithmetic number, because the mean of its divisors is an integer number (1119932080176).

Almost surely, 2^{101000320203120} is an apocalyptic number.

101000320203120 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 101000320203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179189132828160).

101000320203120 is an abundant number, since it is smaller than the sum of its proper divisors (257377945453200).

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

101000320203120 is a wasteful number, since it uses less digits than its factorization.

101000320203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16541744 (or 16541738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101000320203120 its reverse (21302023000101), we get a palindrome (122302343203221).

The spelling of 101000320203120 in words is "one hundred one trillion, three hundred twenty million, two hundred three thousand, one hundred twenty".