10222122120100 has 108 divisors (see below), whose sum is σ = 24597645345252. Its totient is φ = 3684239820800.

The previous prime is 10222122120097. The next prime is 10222122120103. The reversal of 10222122120100 is 102122122201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10222122120097) and next prime (10222122120103).

It can be written as a sum of positive squares in 6 ways, for example, as 3468734902116 + 6753387217984 = 1862454^2 + 2598728^2 .

It is not an unprimeable number, because it can be changed into a prime (10222122120103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2370769 + ... + 5105368.

It is an arithmetic number, because the mean of its divisors is an integer number (227755975419).

Almost surely, 2^{10222122120100} is an apocalyptic number.

10222122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222122120100 is an abundant number, since it is smaller than the sum of its proper divisors (14375523225152).

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

10222122120100 is a wasteful number, since it uses less digits than its factorization.

10222122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476286 (or 7476268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222122120100 its reverse (102122122201), we get a palindrome (10324244242301).

The spelling of 10222122120100 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".