22002122100 has 216 divisors, whose sum is σ = 74188668288. Its totient is φ = 5019840000.

The previous prime is 22002122083. The next prime is 22002122167. The reversal of 22002122100 is 122120022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11038704 + ... + 11040696.

Almost surely, 2^22002122100 is an apocalyptic number.

22002122100 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 22002122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094334144).

22002122100 is an abundant number, since it is smaller than the sum of its proper divisors (52186546188).

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

22002122100 is a wasteful number, since it uses less digits than its factorization.

22002122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22002122100 its reverse (122120022), we get a palindrome (22124242122).

The spelling of 22002122100 in words is "twenty-two billion, two million, one hundred twenty-two thousand, one hundred".