10101020220101 has 2 divisors, whose sum is σ = 10101020220102. Its totient is φ = 10101020220100.

The previous prime is 10101020220023. The next prime is 10101020220133. The reversal of 10101020220101 is 10102202010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5721668784001 + 4379351436100 = 2392001^2 + 2092690^2 .

It is an emirp because it is prime and its reverse (10102202010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101020220101 - 2²⁶ = 10100953111237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101020120101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050510110050 + 5050510110051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050510110051).

Almost surely, 2^{10101020220101} is an apocalyptic number.

It is an amenable number.

10101020220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101020220101 is an equidigital number, since it uses as much as digits as its factorization.

10101020220101 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 11.

Adding to 10101020220101 its reverse (10102202010101), we get a palindrome (20203222230202).

The spelling of 10101020220101 in words is "ten trillion, one hundred one billion, twenty million, two hundred twenty thousand, one hundred one".