110100121121201 has 2 divisors, whose sum is σ = 110100121121202. Its totient is φ = 110100121121200.

The previous prime is 110100121121167. The next prime is 110100121121231. The reversal of 110100121121201 is 102121121001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97009104462400 + 13091016658801 = 9849320^2 + 3618151^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100121121201 - 2⁴⁶ = 39731376943537 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100121121231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050060560600 + 55050060560601.

It is an arithmetic number, because the mean of its divisors is an integer number (55050060560601).

Almost surely, 2^{110100121121201} is an apocalyptic number.

It is an amenable number.

110100121121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100121121201 is an equidigital number, since it uses as much as digits as its factorization.

110100121121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110100121121201 its reverse (102121121001011), we get a palindrome (212221242122212).

The spelling of 110100121121201 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".