110121020100821 has 2 divisors, whose sum is σ = 110121020100822. Its totient is φ = 110121020100820.

The previous prime is 110121020100737. The next prime is 110121020100827. The reversal of 110121020100821 is 128001020121011.

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., 60900777171025 + 49220242929796 = 7803895^2 + 7015714^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121020100821 - 2³⁸ = 109846142193877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110121020100793 and 110121020100802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110121020100827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060510050410 + 55060510050411.

It is an arithmetic number, because the mean of its divisors is an integer number (55060510050411).

Almost surely, 2^{110121020100821} is an apocalyptic number.

It is an amenable number.

110121020100821 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121020100821 is an equidigital number, since it uses as much as digits as its factorization.

110121020100821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 110121020100821 its reverse (128001020121011), we get a palindrome (238122040221832).

The spelling of 110121020100821 in words is "one hundred ten trillion, one hundred twenty-one billion, twenty million, one hundred thousand, eight hundred twenty-one".