101122210211021 has 2 divisors, whose sum is σ = 101122210211022. Its totient is φ = 101122210211020.

The previous prime is 101122210210937. The next prime is 101122210211039. The reversal of 101122210211021 is 120112012221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83547551989225 + 17574658221796 = 9140435^2 + 4192214^2 .

It is an emirp because it is prime and its reverse (120112012221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122210211021 - 2¹⁴ = 101122210194637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122210211921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561105105510 + 50561105105511.

It is an arithmetic number, because the mean of its divisors is an integer number (50561105105511).

Almost surely, 2^{101122210211021} is an apocalyptic number.

It is an amenable number.

101122210211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122210211021 is an equidigital number, since it uses as much as digits as its factorization.

101122210211021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122210211021 its reverse (120112012221101), we get a palindrome (221234222432122).

The spelling of 101122210211021 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, two hundred eleven thousand, twenty-one".