2121001009997 has 2 divisors, whose sum is σ = 2121001009998. Its totient is φ = 2121001009996.

The previous prime is 2121001009951. The next prime is 2121001010003. The reversal of 2121001009997 is 7999001001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1791049566601 + 329951443396 = 1338301^2 + 574414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121001009997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121001009297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500504998 + 1060500504999.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500504999).

Almost surely, 2^{2121001009997} is an apocalyptic number.

It is an amenable number.

2121001009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121001009997 is an equidigital number, since it uses as much as digits as its factorization.

2121001009997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 41.

The spelling of 2121001009997 in words is "two trillion, one hundred twenty-one billion, one million, nine thousand, nine hundred ninety-seven".