10101120101 has 2 divisors, whose sum is σ = 10101120102. Its totient is φ = 10101120100.

The previous prime is 10101120089. The next prime is 10101120137. The reversal of 10101120101 is 10102110101.

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., 8235744001 + 1865376100 = 90751^2 + 43190^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101120101 - 2³⁰ = 9027378277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101620101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050560050 + 5050560051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050560051).

Almost surely, 2^10101120101 is an apocalyptic number.

It is an amenable number.

10101120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101120101 is an equidigital number, since it uses as much as digits as its factorization.

10101120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101120101 its reverse (10102110101), we get a palindrome (20203230202).

The spelling of 10101120101 in words is "ten billion, one hundred one million, one hundred twenty thousand, one hundred one".