111001261584281 has 2 divisors, whose sum is σ = 111001261584282. Its totient is φ = 111001261584280.

The previous prime is 111001261584271. The next prime is 111001261584341. The reversal of 111001261584281 is 182485162100111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110908090126681 + 93171457600 = 10531291^2 + 305240^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001261584281 - 2⁶ = 111001261584217 is a prime.

It is a super-2 number, since 2×111001261584281² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111001261584271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500630792140 + 55500630792141.

It is an arithmetic number, because the mean of its divisors is an integer number (55500630792141).

Almost surely, 2^{111001261584281} is an apocalyptic number.

It is an amenable number.

111001261584281 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001261584281 is an equidigital number, since it uses as much as digits as its factorization.

111001261584281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30720, while the sum is 41.

The spelling of 111001261584281 in words is "one hundred eleven trillion, one billion, two hundred sixty-one million, five hundred eighty-four thousand, two hundred eighty-one".