10222211222201 has 24 divisors (see below), whose sum is σ = 11348512004424. Its totient is φ = 9199872000000.

The previous prime is 10222211222173. The next prime is 10222211222219.

10222211222201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4091412380176 + 6130798842025 = 2022724^2 + 2476045^2 .

It is not a de Polignac number, because 10222211222201 - 2¹⁰ = 10222211221177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222211222401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120957881 + ... + 121042361.

It is an arithmetic number, because the mean of its divisors is an integer number (472854666851).

Almost surely, 2^{10222211222201} is an apocalyptic number.

10222211222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222211222201 is a deficient number, since it is larger than the sum of its proper divisors (1126300782223).

10222211222201 is a wasteful number, since it uses less digits than its factorization.

10222211222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94505 (or 94494 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1022221 and 1222201, that added together give a palindrome (2244422).

The spelling of 10222211222201 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred one".