22261145420100 has 144 divisors (see below), whose sum is σ = 65633186207232. Its totient is φ = 5823500067840.

The previous prime is 22261145420009. The next prime is 22261145420123. The reversal of 22261145420100 is 102454116222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120477384 + ... + 120662016.

It is an arithmetic number, because the mean of its divisors is an integer number (455786015328).

Almost surely, 2^{22261145420100} is an apocalyptic number.

22261145420100 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 22261145420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816593103616).

22261145420100 is an abundant number, since it is smaller than the sum of its proper divisors (43372040787132).

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

22261145420100 is a wasteful number, since it uses less digits than its factorization.

22261145420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192286 (or 192279 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 22261145420100 its reverse (102454116222), we get a palindrome (22363599536322).

The spelling of 22261145420100 in words is "twenty-two trillion, two hundred sixty-one billion, one hundred forty-five million, four hundred twenty thousand, one hundred".