22122100 has 216 divisors, whose sum is σ = 68620608. Its totient is φ = 5990400.

The previous prime is 22122097. The next prime is 22122103. The reversal of 22122100 is 122122.

It is an interprime number because it is at equal distance from previous prime (22122097) and next prime (22122103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1301292 + ... + 1301308.

It is an arithmetic number, because the mean of its divisors is an integer number (317688).

Almost surely, 2^22122100 is an apocalyptic number.

22122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22122100 is the 2975-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34310304).

22122100 is an abundant number, since it is smaller than the sum of its proper divisors (46498508).

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

22122100 is a wasteful number, since it uses less digits than its factorization.

22122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22122100 is about 4703.4136539326. The cubic root of 22122100 is about 280.7213542898.

Adding to 22122100 its reverse (122122), we get a palindrome (22244222).

It can be divided in two parts, 22122 and 100, that added together give a palindrome (22222).

The spelling of 22122100 in words is "twenty-two million, one hundred twenty-two thousand, one hundred".