10022101023300 has 144 divisors (see below), whose sum is σ = 29494128921600. Its totient is φ = 2627091308160.

The previous prime is 10022101023269. The next prime is 10022101023323. The reversal of 10022101023300 is 332010122001.

10022101023300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10022101023300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3943809 + ... + 5966391.

Almost surely, 2^{10022101023300} is an apocalyptic number.

10022101023300 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 10022101023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747064460800).

10022101023300 is an abundant number, since it is smaller than the sum of its proper divisors (19472027898300).

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

10022101023300 is a wasteful number, since it uses less digits than its factorization.

10022101023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022882 (or 2022875 counting only the distinct ones).

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

Adding to 10022101023300 its reverse (332010122001), we get a palindrome (10354111145301).

The spelling of 10022101023300 in words is "ten trillion, twenty-two billion, one hundred one million, twenty-three thousand, three hundred".