10022201012120 has 64 divisors (see below), whose sum is σ = 24600323116800. Its totient is φ = 3644381150080.

The previous prime is 10022201012113. The next prime is 10022201012123. The reversal of 10022201012120 is 2121010222001.

It is a junction number, because it is equal to n+sod(n) for n = 10022201012095 and 10022201012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022201012123) 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, 38466527 + ... + 38726193.

It is an arithmetic number, because the mean of its divisors is an integer number (384380048700).

Almost surely, 2^{10022201012120} is an apocalyptic number.

10022201012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022201012120 is an abundant number, since it is smaller than the sum of its proper divisors (14578122104680).

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

10022201012120 is a wasteful number, since it uses less digits than its factorization.

10022201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347408 (or 347404 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022201012120 its reverse (2121010222001), we get a palindrome (12143211234121).

The spelling of 10022201012120 in words is "ten trillion, twenty-two billion, two hundred one million, twelve thousand, one hundred twenty".