1022211211001 has 2 divisors, whose sum is σ = 1022211211002. Its totient is φ = 1022211211000.

The previous prime is 1022211210959. The next prime is 1022211211067. The reversal of 1022211211001 is 1001121122201.

1022211211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 522185445376 + 500025765625 = 722624^2 + 707125^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022211211001 - 2³⁴ = 1005031341817 is a prime.

It is a super-2 number, since 2×1022211211001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1022211811001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511105605500 + 511105605501.

It is an arithmetic number, because the mean of its divisors is an integer number (511105605501).

Almost surely, 2^{1022211211001} is an apocalyptic number.

It is an amenable number.

1022211211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022211211001 is an equidigital number, since it uses as much as digits as its factorization.

1022211211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022211211001 its reverse (1001121122201), we get a palindrome (2023332333202).

The spelling of 1022211211001 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred eleven thousand, one".