22000010222100 has 288 divisors, whose sum is σ = 67331530506240. Its totient is φ = 5537407680000.

The previous prime is 22000010222081. The next prime is 22000010222119. The reversal of 22000010222100 is 122201000022.

It is an interprime number because it is at equal distance from previous prime (22000010222081) and next prime (22000010222119).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280290661 + ... + 280369139.

It is an arithmetic number, because the mean of its divisors is an integer number (233790036480).

Almost surely, 2^{22000010222100} is an apocalyptic number.

22000010222100 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 22000010222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33665765253120).

22000010222100 is an abundant number, since it is smaller than the sum of its proper divisors (45331520284140).

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

22000010222100 is a wasteful number, since it uses less digits than its factorization.

22000010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79271 (or 79264 counting only the distinct ones).

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

Adding to 22000010222100 its reverse (122201000022), we get a palindrome (22122211222122).

The spelling of 22000010222100 in words is "twenty-two trillion, ten million, two hundred twenty-two thousand, one hundred".