22232102100030 has 128 divisors (see below), whose sum is σ = 59517254943360. Its totient is φ = 5905408343040.

The previous prime is 22232102100023. The next prime is 22232102100097. The reversal of 22232102100030 is 3000120123222.

It is a super-2 number, since 2×22232102100030² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22232102099976 and 22232102100012.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 262994170 + ... + 263078690.

It is an arithmetic number, because the mean of its divisors is an integer number (464978554245).

Almost surely, 2^{22232102100030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232102100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758627471680).

22232102100030 is an abundant number, since it is smaller than the sum of its proper divisors (37285152843330).

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

22232102100030 is a wasteful number, since it uses less digits than its factorization.

22232102100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88331 (or 88325 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22232102100030 its reverse (3000120123222), we get a palindrome (25232222223252).

The spelling of 22232102100030 in words is "twenty-two trillion, two hundred thirty-two billion, one hundred two million, one hundred thousand, thirty".