22012211222100 has 360 divisors, whose sum is σ = 77902777215648. Its totient is φ = 5332106707200.

The previous prime is 22012211222081. The next prime is 22012211222119. The reversal of 22012211222100 is 122211221022.

It is a happy number.

22012211222100 is a `hidden beast` number, since 220 + 1 + 2 + 211 + 22 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22012211222081) and next prime (22012211222119).

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

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 119 ways as a sum of consecutive naturals, for example, 114219022 + ... + 114411578.

Almost surely, 2^{22012211222100} is an apocalyptic number.

22012211222100 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 22012211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38951388607824).

22012211222100 is an abundant number, since it is smaller than the sum of its proper divisors (55890565993548).

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

22012211222100 is a wasteful number, since it uses less digits than its factorization.

22012211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193877 (or 193861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22012211222100 its reverse (122211221022), we get a palindrome (22134422443122).

The spelling of 22012211222100 in words is "twenty-two trillion, twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".