10222100122201 has 16 divisors (see below), whose sum is σ = 11262348340416. Its totient is φ = 9200355400000.

The previous prime is 10222100122177. The next prime is 10222100122271.

It is a happy number.

10222100122201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10222100122201 - 2²³ = 10222091733593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222100122271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23359746 + ... + 23793316.

It is an arithmetic number, because the mean of its divisors is an integer number (703896771276).

Almost surely, 2^{10222100122201} is an apocalyptic number.

10222100122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222100122201 is a deficient number, since it is larger than the sum of its proper divisors (1040248218215).

10222100122201 is a wasteful number, since it uses less digits than its factorization.

10222100122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454904.

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

It can be divided in two parts, 10222100 and 122201, that added together give a palindrome (10344301).

The spelling of 10222100122201 in words is "ten trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred one".