110121200083649 has 2 divisors, whose sum is σ = 110121200083650. Its totient is φ = 110121200083648.

The previous prime is 110121200083571. The next prime is 110121200083667. The reversal of 110121200083649 is 946380002121011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109723111014400 + 398089069249 = 10474880^2 + 630943^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121200083649 - 2²⁰ = 110121199035073 is a prime.

It is not a weakly prime, because it can be changed into another prime (110121200083679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060600041824 + 55060600041825.

It is an arithmetic number, because the mean of its divisors is an integer number (55060600041825).

Almost surely, 2^{110121200083649} is an apocalyptic number.

It is an amenable number.

110121200083649 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121200083649 is an equidigital number, since it uses as much as digits as its factorization.

110121200083649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 110121200083649 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred million, eighty-three thousand, six hundred forty-nine".