110121211002001 has 2 divisors, whose sum is σ = 110121211002002. Its totient is φ = 110121211002000.

The previous prime is 110121211001999. The next prime is 110121211002041. The reversal of 110121211002001 is 100200112121011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72593825080401 + 37527385921600 = 8520201^2 + 6125960^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121211002001 - 2¹ = 110121211001999 is a prime.

It is a super-2 number, since 2×110121211002001² (a number of 29 digits) contains 22 as substring.

Together with 110121211001999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110121211002041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060605501000 + 55060605501001.

It is an arithmetic number, because the mean of its divisors is an integer number (55060605501001).

Almost surely, 2^{110121211002001} is an apocalyptic number.

It is an amenable number.

110121211002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121211002001 is an equidigital number, since it uses as much as digits as its factorization.

110121211002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110121211002001 its reverse (100200112121011), we get a palindrome (210321323123012).

The spelling of 110121211002001 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred eleven million, two thousand, one".