101021221001 has 2 divisors, whose sum is σ = 101021221002. Its totient is φ = 101021221000.

The previous prime is 101021220961. The next prime is 101021221013. The reversal of 101021221001 is 100122120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71663825401 + 29357395600 = 267701^2 + 171340^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021221001 - 2³⁴ = 83841351817 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021221601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510610500 + 50510610501.

It is an arithmetic number, because the mean of its divisors is an integer number (50510610501).

Almost surely, 2^101021221001 is an apocalyptic number.

It is an amenable number.

101021221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021221001 is an equidigital number, since it uses as much as digits as its factorization.

101021221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101021221001 its reverse (100122120101), we get a palindrome (201143341102).

The spelling of 101021221001 in words is "one hundred one billion, twenty-one million, two hundred twenty-one thousand, one".