22013420100 has 288 divisors, whose sum is σ = 75801981696. Its totient is φ = 4827340800.

The previous prime is 22013420047. The next prime is 22013420123. The reversal of 22013420100 is 102431022.

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 22013420100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5670160 + ... + 5674040.

Almost surely, 2^22013420100 is an apocalyptic number.

22013420100 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 22013420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37900990848).

22013420100 is an abundant number, since it is smaller than the sum of its proper divisors (53788561596).

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

22013420100 is a wasteful number, since it uses less digits than its factorization.

22013420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22013420100 its reverse (102431022), we get a palindrome (22115851122).

The spelling of 22013420100 in words is "twenty-two billion, thirteen million, four hundred twenty thousand, one hundred".