10002221122122 has 192 divisors, whose sum is σ = 23688817152000. Its totient is φ = 3038475732480.

The previous prime is 10002221122111. The next prime is 10002221122133. The reversal of 10002221122122 is 22122112220001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10002221122111) and next prime (10002221122133).

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 = 10002221122095 and 10002221122104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1299154629 + ... + 1299162327.

It is an arithmetic number, because the mean of its divisors is an integer number (123379256000).

Almost surely, 2^{10002221122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002221122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844408576000).

10002221122122 is an abundant number, since it is smaller than the sum of its proper divisors (13686596029878).

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

10002221122122 is a wasteful number, since it uses less digits than its factorization.

10002221122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8470 counting only the distinct ones).

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

Adding to 10002221122122 its reverse (22122112220001), we get a palindrome (32124333342123).

The spelling of 10002221122122 in words is "ten trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".