111211112111101 has 2 divisors, whose sum is σ = 111211112111102. Its totient is φ = 111211112111100.

The previous prime is 111211112111051. The next prime is 111211112111123. The reversal of 111211112111101 is 101111211112111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66803895423225 + 44407216687876 = 8173365^2 + 6663874^2 .

It is a cyclic number.

It is not a de Polignac number, because 111211112111101 - 2³⁵ = 111176752372733 is a prime.

It is a super-2 number, since 2×111211112111101² (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 (111211112151101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55605556055550 + 55605556055551.

It is an arithmetic number, because the mean of its divisors is an integer number (55605556055551).

Almost surely, 2^{111211112111101} is an apocalyptic number.

It is an amenable number.

111211112111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111211112111101 is an equidigital number, since it uses as much as digits as its factorization.

111211112111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 16.

Adding to 111211112111101 its reverse (101111211112111), we get a palindrome (212322323223212).

It can be divided in two parts, 111211112111 and 101, that multiplied together give a palindrome (11232322323211).

The spelling of 111211112111101 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred one".