101221121101021 has 2 divisors, whose sum is σ = 101221121101022. Its totient is φ = 101221121101020.

The previous prime is 101221121101007. The next prime is 101221121101039. The reversal of 101221121101021 is 120101121122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92316930748900 + 8904190352121 = 9608170^2 + 2983989^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221121101021 - 2⁷ = 101221121100893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221121100986 and 101221121101004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221121101091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610560550510 + 50610560550511.

It is an arithmetic number, because the mean of its divisors is an integer number (50610560550511).

Almost surely, 2^{101221121101021} is an apocalyptic number.

It is an amenable number.

101221121101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221121101021 is an equidigital number, since it uses as much as digits as its factorization.

101221121101021 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 16.

Adding to 101221121101021 its reverse (120101121122101), we get a palindrome (221322242223122).

The spelling of 101221121101021 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, twenty-one".