10022222101122 has 384 divisors, whose sum is σ = 27715296960000. Its totient is φ = 2542238576640.

The previous prime is 10022222101103. The next prime is 10022222101141. The reversal of 10022222101122 is 22110122222001.

It is a happy number.

10022222101122 is a `hidden beast` number, since 100 + 222 + 221 + 0 + 1 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (10022222101103) and next prime (10022222101141).

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 = 10022222101095 and 10022222101104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5864377204 + ... + 5864378912.

It is an arithmetic number, because the mean of its divisors is an integer number (72175252500).

Almost surely, 2^{10022222101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022222101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857648480000).

10022222101122 is an abundant number, since it is smaller than the sum of its proper divisors (17693074858878).

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

10022222101122 is a wasteful number, since it uses less digits than its factorization.

10022222101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2343 counting only the distinct ones).

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

Adding to 10022222101122 its reverse (22110122222001), we get a palindrome (32132344323123).

The spelling of 10022222101122 in words is "ten trillion, twenty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-two".