101112121220261 has 2 divisors, whose sum is σ = 101112121220262. Its totient is φ = 101112121220260.

The previous prime is 101112121220197. The next prime is 101112121220281. The reversal of 101112121220261 is 162022121211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70401748830625 + 30710372389636 = 8390575^2 + 5541694^2 .

It is an emirp because it is prime and its reverse (162022121211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112121220261 - 2⁶ = 101112121220197 is a prime.

It is a super-2 number, since 2×101112121220261² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112121220281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060610130 + 50556060610131.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060610131).

Almost surely, 2^{101112121220261} is an apocalyptic number.

It is an amenable number.

101112121220261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112121220261 is an equidigital number, since it uses as much as digits as its factorization.

101112121220261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 101112121220261 its reverse (162022121211101), we get a palindrome (263134242431362).

The spelling of 101112121220261 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred sixty-one".