2121102102001 has 2 divisors, whose sum is σ = 2121102102002. Its totient is φ = 2121102102000.

The previous prime is 2121102101917. The next prime is 2121102102019. The reversal of 2121102102001 is 1002012011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2048405000625 + 72697101376 = 1431225^2 + 269624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121102102001 - 2⁷ = 2121102101873 is a prime.

It is a super-2 number, since 2×2121102102001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2121102102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551051000 + 1060551051001.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551051001).

Almost surely, 2^{2121102102001} is an apocalyptic number.

It is an amenable number.

2121102102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102102001 is an equidigital number, since it uses as much as digits as its factorization.

2121102102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121102102001 its reverse (1002012011212), we get a palindrome (3123114113213).

The spelling of 2121102102001 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred two thousand, one".