2121001012001 has 2 divisors, whose sum is σ = 2121001012002. Its totient is φ = 2121001012000.

The previous prime is 2121001011979. The next prime is 2121001012069. The reversal of 2121001012001 is 1002101001212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2105575123600 + 15425888401 = 1451060^2 + 124201^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121001012001 - 2⁶ = 2121001011937 is a prime.

It is a super-2 number, since 2×2121001012001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2121001012601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500506000 + 1060500506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500506001).

Almost surely, 2^{2121001012001} is an apocalyptic number.

It is an amenable number.

2121001012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121001012001 is an equidigital number, since it uses as much as digits as its factorization.

2121001012001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2121001012001 its reverse (1002101001212), we get a palindrome (3123102013213).

The spelling of 2121001012001 in words is "two trillion, one hundred twenty-one billion, one million, twelve thousand, one".