10122122201220 has 60 divisors (see below), whose sum is σ = 31753472243724. Its totient is φ = 2699232586560.

The previous prime is 10122122201207. The next prime is 10122122201267. The reversal of 10122122201220 is 2210222122101.

It is a happy number.

10122122201220 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 2 + 220 + 1 + 220 = 666.

10122122201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8063373593664 + 2058748607556 = 2839608^2 + 1434834^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10122122201193 and 10122122201202.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3124110171 + ... + 3124113410.

Almost surely, 2^{10122122201220} is an apocalyptic number.

10122122201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122122201220 is an abundant number, since it is smaller than the sum of its proper divisors (21631350042504).

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

10122122201220 is a wasteful number, since it uses less digits than its factorization.

10122122201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248223602 (or 6248223591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122122201220 its reverse (2210222122101), we get a palindrome (12332344323321).

The spelling of 10122122201220 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".