2121110010001 has 4 divisors (see below), whose sum is σ = 2121325164400. Its totient is φ = 2120894855604.

The previous prime is 2121110009971. The next prime is 2121110010017. The reversal of 2121110010001 is 1000100111212.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2121110010001 - 2⁷ = 2121110009873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121110010001.

It is not an unprimeable number, because it can be changed into a prime (2121110010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107562411 + ... + 107582128.

It is an arithmetic number, because the mean of its divisors is an integer number (530331291100).

Almost surely, 2^{2121110010001} is an apocalyptic number.

It is an amenable number.

2121110010001 is a deficient number, since it is larger than the sum of its proper divisors (215154399).

2121110010001 is an equidigital number, since it uses as much as digits as its factorization.

2121110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215154398.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2121110010001 its reverse (1000100111212), we get a palindrome (3121210121213).

The spelling of 2121110010001 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, ten thousand, one".