101112121212101 has 2 divisors, whose sum is σ = 101112121212102. Its totient is φ = 101112121212100.

The previous prime is 101112121212041. The next prime is 101112121212127. The reversal of 101112121212101 is 101212121211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95799580251076 + 5312540961025 = 9787726^2 + 2304895^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112121212101 - 2¹⁴ = 101112121195717 is a prime.

It is a super-2 number, since 2×101112121212101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101112121212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112121412101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060606050 + 50556060606051.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060606051).

Almost surely, 2^{101112121212101} is an apocalyptic number.

It is an amenable number.

101112121212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112121212101 is an equidigital number, since it uses as much as digits as its factorization.

101112121212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101112121212101 its reverse (101212121211101), we get a palindrome (202324242423202).

It can be divided in two parts, 10 and 1112121212101, that added together give a palindrome (1112121212111).

The spelling of 101112121212101 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".