101011111221001 has 2 divisors, whose sum is σ = 101011111221002. Its totient is φ = 101011111221000.

The previous prime is 101011111220977. The next prime is 101011111221011. The reversal of 101011111221001 is 100122111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89674933999225 + 11336177221776 = 9469685^2 + 3366924^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111221001 - 2⁵ = 101011111220969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011111221011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555610500 + 50505555610501.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555610501).

Almost surely, 2^{101011111221001} is an apocalyptic number.

It is an amenable number.

101011111221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011111221001 is an equidigital number, since it uses as much as digits as its factorization.

101011111221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101011111221001 its reverse (100122111110101), we get a palindrome (201133222331102).

The spelling of 101011111221001 in words is "one hundred one trillion, eleven billion, one hundred eleven million, two hundred twenty-one thousand, one".