10101022400 has 168 divisors, whose sum is σ = 29099658336. Its totient is φ = 3378585600.

The previous prime is 10101022363. The next prime is 10101022403. The reversal of 10101022400 is 422010101.

It is not an unprimeable number, because it can be changed into a prime (10101022403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448202 + ... + 470198.

It is an arithmetic number, because the mean of its divisors is an integer number (173212252).

Almost surely, 2^10101022400 is an apocalyptic number.

10101022400 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 10101022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549829168).

10101022400 is an abundant number, since it is smaller than the sum of its proper divisors (18998635936).

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

10101022400 is a wasteful number, since it uses less digits than its factorization.

10101022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22067 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10101022400 its reverse (422010101), we get a palindrome (10523032501).

The spelling of 10101022400 in words is "ten billion, one hundred one million, twenty-two thousand, four hundred".