10010101221121 has 2 divisors, whose sum is σ = 10010101221122. Its totient is φ = 10010101221120.

The previous prime is 10010101221119. The next prime is 10010101221137. The reversal of 10010101221121 is 12112210101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6787645406721 + 3222455814400 = 2605311^2 + 1795120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101221121 - 2¹ = 10010101221119 is a prime.

Together with 10010101221119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10010104221121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050610560 + 5005050610561.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050610561).

Almost surely, 2^{10010101221121} is an apocalyptic number.

It is an amenable number.

10010101221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101221121 is an equidigital number, since it uses as much as digits as its factorization.

10010101221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10010101221121 its reverse (12112210101001), we get a palindrome (22122311322122).

The spelling of 10010101221121 in words is "ten trillion, ten billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".