10022122122001 has 64 divisors (see below), whose sum is σ = 11764918089216. Its totient is φ = 8448067584000.

The previous prime is 10022122121857. The next prime is 10022122122007.

It is a happy number.

10022122122001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10022122122001 - 2¹⁹ = 10022121597713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022122122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255535945 + ... + 255575161.

It is an arithmetic number, because the mean of its divisors is an integer number (183826845144).

Almost surely, 2^{10022122122001} is an apocalyptic number.

10022122122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022122122001 is a deficient number, since it is larger than the sum of its proper divisors (1742795967215).

10022122122001 is a wasteful number, since it uses less digits than its factorization.

10022122122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39562.

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

It can be divided in two parts, 1002212 and 2122001, that added together give a palindrome (3124213).

The spelling of 10022122122001 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one".