22220100102222 has 192 divisors, whose sum is σ = 54943393272768. Its totient is φ = 6429943296000.

The previous prime is 22220100102217. The next prime is 22220100102223.

22220100102222 is a `hidden beast` number, since 22 + 220 + 100 + 102 + 222 = 666.

22220100102222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22220100102222² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22220100102195 and 22220100102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220100102223) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 205960518 + ... + 206068374.

It is an arithmetic number, because the mean of its divisors is an integer number (286163506629).

Almost surely, 2^{22220100102222} is an apocalyptic number.

22220100102222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220100102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471696636384).

22220100102222 is an abundant number, since it is smaller than the sum of its proper divisors (32723293170546).

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

22220100102222 is a wasteful number, since it uses less digits than its factorization.

22220100102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108435 (or 108432 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 22220100 and 102222, that added together give a palindrome (22322322).

The spelling of 22220100102222 in words is "twenty-two trillion, two hundred twenty billion, one hundred million, one hundred two thousand, two hundred twenty-two".