2121000021017 has 2 divisors, whose sum is σ = 2121000021018. Its totient is φ = 2121000021016.

The previous prime is 2121000020981. The next prime is 2121000021053. The reversal of 2121000021017 is 7101200001212.

It is a balanced prime because it is at equal distance from previous prime (2121000020981) and next prime (2121000021053).

It can be written as a sum of positive squares in only one way, i.e., 1413409499161 + 707590521856 = 1188869^2 + 841184^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121000021017 - 2¹² = 2121000016921 is a prime.

It is a super-2 number, since 2×2121000021017² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121000020986 and 2121000021004.

It is not a weakly prime, because it can be changed into another prime (2121000021067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500010508 + 1060500010509.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500010509).

Almost surely, 2^{2121000021017} is an apocalyptic number.

It is an amenable number.

2121000021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121000021017 is an equidigital number, since it uses as much as digits as its factorization.

2121000021017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 2121000021017 its reverse (7101200001212), we get a palindrome (9222200022229).

The spelling of 2121000021017 in words is "two trillion, one hundred twenty-one billion, twenty-one thousand, seventeen".