101012222211001 has 2 divisors, whose sum is σ = 101012222211002. Its totient is φ = 101012222211000.

The previous prime is 101012222210987. The next prime is 101012222211007. The reversal of 101012222211001 is 100112222210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78608083854400 + 22404138356601 = 8866120^2 + 4733301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012222211001 - 2²⁹ = 101011685340089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012222211007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506111105500 + 50506111105501.

It is an arithmetic number, because the mean of its divisors is an integer number (50506111105501).

Almost surely, 2^{101012222211001} is an apocalyptic number.

It is an amenable number.

101012222211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012222211001 is an equidigital number, since it uses as much as digits as its factorization.

101012222211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101012222211001 its reverse (100112222210101), we get a palindrome (201124444421102).

The spelling of 101012222211001 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, two hundred eleven thousand, one".