22530105101000 has 256 divisors, whose sum is σ = 62901757301760. Its totient is φ = 7385209497600.

The previous prime is 22530105100961. The next prime is 22530105101059. The reversal of 22530105101000 is 10150103522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346600502 + ... + 346665498.

It is an arithmetic number, because the mean of its divisors is an integer number (245709989460).

Almost surely, 2^{22530105101000} is an apocalyptic number.

22530105101000 is a gapful number since it is divisible by the number (20) 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 22530105101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31450878650880).

22530105101000 is an abundant number, since it is smaller than the sum of its proper divisors (40371652200760).

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

22530105101000 is a wasteful number, since it uses less digits than its factorization.

22530105101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67201 (or 67187 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 22530105101000 its reverse (10150103522), we get a palindrome (22540255204522).

The spelling of 22530105101000 in words is "twenty-two trillion, five hundred thirty billion, one hundred five million, one hundred one thousand".