20102001012101 has 2 divisors, whose sum is σ = 20102001012102. Its totient is φ = 20102001012100.

The previous prime is 20102001012083. The next prime is 20102001012109. The reversal of 20102001012101 is 10121010020102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20084873008225 + 17128003876 = 4481615^2 + 130874^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102001012101 - 2¹⁰ = 20102001011077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20102001012109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051000506050 + 10051000506051.

It is an arithmetic number, because the mean of its divisors is an integer number (10051000506051).

Almost surely, 2^{20102001012101} is an apocalyptic number.

It is an amenable number.

20102001012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102001012101 is an equidigital number, since it uses as much as digits as its factorization.

20102001012101 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 11.

Adding to 20102001012101 its reverse (10121010020102), we get a palindrome (30223011032203).

The spelling of 20102001012101 in words is "twenty trillion, one hundred two billion, one million, twelve thousand, one hundred one".