10122112002220 has 48 divisors (see below), whose sum is σ = 21779354143008. Its totient is φ = 3949488668160.

The previous prime is 10122112002151. The next prime is 10122112002229. The reversal of 10122112002220 is 2220021122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10122112002194 and 10122112002203.

It is not an unprimeable number, because it can be changed into a prime (10122112002229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7078719 + ... + 8387638.

It is an arithmetic number, because the mean of its divisors is an integer number (453736544646).

Almost surely, 2^{10122112002220} is an apocalyptic number.

10122112002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122112002220 is an abundant number, since it is smaller than the sum of its proper divisors (11657242140788).

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

10122112002220 is a wasteful number, since it uses less digits than its factorization.

10122112002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15467170 (or 15467168 counting only the distinct ones).

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

Adding to 10122112002220 its reverse (2220021122101), we get a palindrome (12342133124321).

It can be divided in two parts, 101221 and 12002220, that added together give a square (12103441 = 3479²).

The spelling of 10122112002220 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, two hundred twenty".