101210010101 has 2 divisors, whose sum is σ = 101210010102. Its totient is φ = 101210010100.

The previous prime is 101210010067. The next prime is 101210010113. The reversal of 101210010101 is 101010012101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93226408900 + 7983601201 = 305330^2 + 89351^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210010101 - 2³⁰ = 100136268277 is a prime.

It is a super-2 number, since 2×101210010101² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210040101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605005050 + 50605005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50605005051).

Almost surely, 2^101210010101 is an apocalyptic number.

It is an amenable number.

101210010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210010101 is an equidigital number, since it uses as much as digits as its factorization.

101210010101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101210010101 its reverse (101010012101), we get a palindrome (202220022202).

It can be divided in two parts, 1012100 and 10101, that added together give a palindrome (1022201).

The spelling of 101210010101 in words is "one hundred one billion, two hundred ten million, ten thousand, one hundred one".