20101001221121 has 2 divisors, whose sum is σ = 20101001221122. Its totient is φ = 20101001221120.

The previous prime is 20101001221117. The next prime is 20101001221139. The reversal of 20101001221121 is 12112210010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20011307560000 + 89693661121 = 4473400^2 + 299489^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101001221121 - 2² = 20101001221117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20101001221096 and 20101001221105.

It is not a weakly prime, because it can be changed into another prime (20101001271121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050500610560 + 10050500610561.

It is an arithmetic number, because the mean of its divisors is an integer number (10050500610561).

Almost surely, 2^{20101001221121} is an apocalyptic number.

It is an amenable number.

20101001221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101001221121 is an equidigital number, since it uses as much as digits as its factorization.

20101001221121 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 14.

Adding to 20101001221121 its reverse (12112210010102), we get a palindrome (32213211231223).

The spelling of 20101001221121 in words is "twenty trillion, one hundred one billion, one million, two hundred twenty-one thousand, one hundred twenty-one".