110011000102121 has 2 divisors, whose sum is σ = 110011000102122. Its totient is φ = 110011000102120.

The previous prime is 110011000102111. The next prime is 110011000102151. The reversal of 110011000102121 is 121201000110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109864357824400 + 146642277721 = 10481620^2 + 382939^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011000102121 - 2¹⁸ = 110010999839977 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011000102111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005500051060 + 55005500051061.

It is an arithmetic number, because the mean of its divisors is an integer number (55005500051061).

Almost surely, 2^{110011000102121} is an apocalyptic number.

It is an amenable number.

110011000102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011000102121 is an equidigital number, since it uses as much as digits as its factorization.

110011000102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110011000102121 its reverse (121201000110011), we get a palindrome (231212000212132).

The spelling of 110011000102121 in words is "one hundred ten trillion, eleven billion, one hundred two thousand, one hundred twenty-one".