110110100121253 has 2 divisors, whose sum is σ = 110110100121254. Its totient is φ = 110110100121252.

The previous prime is 110110100121173. The next prime is 110110100121257. The reversal of 110110100121253 is 352121001011011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110004499819809 + 105600301444 = 10488303^2 + 324962^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110100121253 - 2²⁵ = 110110066566821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110110100121253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110100121257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055050060626 + 55055050060627.

It is an arithmetic number, because the mean of its divisors is an integer number (55055050060627).

Almost surely, 2^{110110100121253} is an apocalyptic number.

It is an amenable number.

110110100121253 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110100121253 is an equidigital number, since it uses as much as digits as its factorization.

110110100121253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 110110100121253 its reverse (352121001011011), we get a palindrome (462231101132264).

The spelling of 110110100121253 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one hundred twenty-one thousand, two hundred fifty-three".