110111001011261 has 2 divisors, whose sum is σ = 110111001011262. Its totient is φ = 110111001011260.

The previous prime is 110111001011233. The next prime is 110111001011321. The reversal of 110111001011261 is 162110100111011.

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., 96161754564100 + 13949246447161 = 9806210^2 + 3734869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110111001011261 is a prime.

It is a super-4 number, since 4×110111001011261⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111001011761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055500505630 + 55055500505631.

It is an arithmetic number, because the mean of its divisors is an integer number (55055500505631).

Almost surely, 2^{110111001011261} is an apocalyptic number.

It is an amenable number.

110111001011261 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111001011261 is an equidigital number, since it uses as much as digits as its factorization.

110111001011261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 17.

Adding to 110111001011261 its reverse (162110100111011), we get a palindrome (272221101122272).

The spelling of 110111001011261 in words is "one hundred ten trillion, one hundred eleven billion, one million, eleven thousand, two hundred sixty-one".