22211012222100 has 288 divisors, whose sum is σ = 77658297050880. Its totient is φ = 5413193280000.

The previous prime is 22211012222093. The next prime is 22211012222101. The reversal of 22211012222100 is 122221011222.

It is a happy number.

22211012222100 is a `hidden beast` number, since 2 + 221 + 10 + 1 + 222 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211012222101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412465 + ... + 6677735.

It is an arithmetic number, because the mean of its divisors is an integer number (269646864760).

Almost surely, 2^{22211012222100} is an apocalyptic number.

22211012222100 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 22211012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38829148525440).

22211012222100 is an abundant number, since it is smaller than the sum of its proper divisors (55447284828780).

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

22211012222100 is a wasteful number, since it uses less digits than its factorization.

22211012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265408 (or 6265395 counting only the distinct ones).

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

Adding to 22211012222100 its reverse (122221011222), we get a palindrome (22333233233322).

The spelling of 22211012222100 in words is "twenty-two trillion, two hundred eleven billion, twelve million, two hundred twenty-two thousand, one hundred".