101412123361 has 2 divisors, whose sum is σ = 101412123362. Its totient is φ = 101412123360.

The previous prime is 101412123353. The next prime is 101412123383. The reversal of 101412123361 is 163321214101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77461465761 + 23950657600 = 278319^2 + 154760^2 .

It is a cyclic number.

It is not a de Polignac number, because 101412123361 - 2³ = 101412123353 is a prime.

It is a super-3 number, since 3×101412123361³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101412123331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706061680 + 50706061681.

It is an arithmetic number, because the mean of its divisors is an integer number (50706061681).

Almost surely, 2^101412123361 is an apocalyptic number.

It is an amenable number.

101412123361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101412123361 is an equidigital number, since it uses as much as digits as its factorization.

101412123361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 101412123361 its reverse (163321214101), we get a palindrome (264733337462).

The spelling of 101412123361 in words is "one hundred one billion, four hundred twelve million, one hundred twenty-three thousand, three hundred sixty-one".