10122220122210 has 192 divisors, whose sum is σ = 30380209277184. Its totient is φ = 2290368960000.

The previous prime is 10122220122197. The next prime is 10122220122239. The reversal of 10122220122210 is 1222102222101.

It is a happy number.

10122220122210 is a `hidden beast` number, since 10 + 1 + 222 + 201 + 22 + 210 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629992597 + ... + 630008663.

It is an arithmetic number, because the mean of its divisors is an integer number (158230256652).

Almost surely, 2^{10122220122210} is an apocalyptic number.

10122220122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122220122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190104638592).

10122220122210 is an abundant number, since it is smaller than the sum of its proper divisors (20257989154974).

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

10122220122210 is a wasteful number, since it uses less digits than its factorization.

10122220122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26089 (or 26086 counting only the distinct ones).

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

Adding to 10122220122210 its reverse (1222102222101), we get a palindrome (11344322344311).

The spelling of 10122220122210 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, two hundred ten".