101023300000 has 432 divisors, whose sum is σ = 295396952760. Its totient is φ = 33895680000.

The previous prime is 101023299959. The next prime is 101023300151. The reversal of 101023300000 is 3320101.

It can be written as a sum of positive squares in 12 ways, for example, as 49165079824 + 51858220176 = 221732^2 + 227724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101023300000.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259699806 + ... + 259700194.

Almost surely, 2^101023300000 is an apocalyptic number.

101023300000 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 101023300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147698476380).

101023300000 is an abundant number, since it is smaller than the sum of its proper divisors (194373652760).

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

101023300000 is an frugal number, since it uses more digits than its factorization.

101023300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 101023300000 its reverse (3320101), we get a palindrome (101026620101).

The spelling of 101023300000 in words is "one hundred one billion, twenty-three million, three hundred thousand".