110100011101121 has 2 divisors, whose sum is σ = 110100011101122. Its totient is φ = 110100011101120.

The previous prime is 110100011101109. The next prime is 110100011101133. The reversal of 110100011101121 is 121101110001011.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (110100011101109) and next prime (110100011101133).

It can be written as a sum of positive squares in only one way, i.e., 72091799694721 + 38008211406400 = 8490689^2 + 6165080^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100011101121 - 2²² = 110100006906817 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100011101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050005550560 + 55050005550561.

It is an arithmetic number, because the mean of its divisors is an integer number (55050005550561).

Almost surely, 2^{110100011101121} is an apocalyptic number.

It is an amenable number.

110100011101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100011101121 is an equidigital number, since it uses as much as digits as its factorization.

110100011101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110100011101121 its reverse (121101110001011), we get a palindrome (231201121102132).

The spelling of 110100011101121 in words is "one hundred ten trillion, one hundred billion, eleven million, one hundred one thousand, one hundred twenty-one".