101212121212101 has 6 divisors (see below), whose sum is σ = 146195286195270. Its totient is φ = 67474747474728.

The previous prime is 101212121212093. The next prime is 101212121212177.

It is a happy number.

101212121212101 is a `hidden beast` number, since 1 + 0 + 121 + 212 + 121 + 210 + 1 = 666.

101212121212101 is nontrivially palindromic in base 10.

101212121212101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 68663612895201 + 32548508316900 = 8286351^2 + 5705130^2 .

It is not a de Polignac number, because 101212121212101 - 2³ = 101212121212093 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212121213101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5622895622886 + ... + 5622895622903.

It is an arithmetic number, because the mean of its divisors is an integer number (24365881032545).

Almost surely, 2^{101212121212101} is an apocalyptic number.

It is an amenable number.

101212121212101 is a deficient number, since it is larger than the sum of its proper divisors (44983164983169).

101212121212101 is a wasteful number, since it uses less digits than its factorization.

101212121212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245791245795 (or 11245791245792 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 101212121212101 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".