101221101001 has 2 divisors, whose sum is σ = 101221101002. Its totient is φ = 101221101000.

The previous prime is 101221100977. The next prime is 101221101013. The reversal of 101221101001 is 100101122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90300851001 + 10920250000 = 300501^2 + 104500^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221101001 - 2¹⁷ = 101220969929 is a prime.

It is a super-2 number, since 2×101221101001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101221101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610550500 + 50610550501.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550501).

Almost surely, 2^101221101001 is an apocalyptic number.

It is an amenable number.

101221101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221101001 is an equidigital number, since it uses as much as digits as its factorization.

101221101001 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 10.

Adding to 101221101001 its reverse (100101122101), we get a palindrome (201322223102).

The spelling of 101221101001 in words is "one hundred one billion, two hundred twenty-one million, one hundred one thousand, one".