10222102012120 has 64 divisors (see below), whose sum is σ = 25192401559200. Its totient is φ = 3715620034560.

The previous prime is 10222102012117. The next prime is 10222102012123. The reversal of 10222102012120 is 2121020122201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10222102012117) and next prime (10222102012123).

It is a junction number, because it is equal to n+sod(n) for n = 10222102012094 and 10222102012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222102012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259161366 + ... + 259200805.

Almost surely, 2^{10222102012120} is an apocalyptic number.

10222102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222102012120 is an abundant number, since it is smaller than the sum of its proper divisors (14970299547080).

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

10222102012120 is a wasteful number, since it uses less digits than its factorization.

10222102012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518362228 (or 518362224 counting only the distinct ones).

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

Adding to 10222102012120 its reverse (2121020122201), we get a palindrome (12343122134321).

The spelling of 10222102012120 in words is "ten trillion, two hundred twenty-two billion, one hundred two million, twelve thousand, one hundred twenty".