10122120202220 has 72 divisors (see below), whose sum is σ = 23023461882960. Its totient is φ = 3736404522240.

The previous prime is 10122120202219. The next prime is 10122120202331. The reversal of 10122120202220 is 2220202122101.

It is a happy number.

10122120202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12376790 + ... + 13169250.

It is an arithmetic number, because the mean of its divisors is an integer number (319770303930).

Almost surely, 2^{10122120202220} is an apocalyptic number.

10122120202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122120202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511730941480).

10122120202220 is an abundant number, since it is smaller than the sum of its proper divisors (12901341680740).

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

10122120202220 is a wasteful number, since it uses less digits than its factorization.

10122120202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796275 (or 796260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10122120202220 its reverse (2220202122101), we get a palindrome (12342322324321).

The spelling of 10122120202220 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred two thousand, two hundred twenty".