101021101211021 has 2 divisors, whose sum is σ = 101021101211022. Its totient is φ = 101021101211020.

The previous prime is 101021101210987. The next prime is 101021101211027. The reversal of 101021101211021 is 120112101120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80977303590121 + 20043797620900 = 8998739^2 + 4477030^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021101211021 - 2¹⁸ = 101021100948877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101021101210987 and 101021101211005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021101211027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510550605510 + 50510550605511.

It is an arithmetic number, because the mean of its divisors is an integer number (50510550605511).

Almost surely, 2^{101021101211021} is an apocalyptic number.

It is an amenable number.

101021101211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021101211021 is an equidigital number, since it uses as much as digits as its factorization.

101021101211021 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 14.

Adding to 101021101211021 its reverse (120112101120101), we get a palindrome (221133202331122).

The spelling of 101021101211021 in words is "one hundred one trillion, twenty-one billion, one hundred one million, two hundred eleven thousand, twenty-one".