2112202102001 has 2 divisors, whose sum is σ = 2112202102002. Its totient is φ = 2112202102000.

The previous prime is 2112202101991. The next prime is 2112202102019. The reversal of 2112202102001 is 1002012022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2096562098401 + 15640003600 = 1447951^2 + 125060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112202102001 - 2³⁰ = 2111128360177 is a prime.

It is a super-2 number, since 2×2112202102001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112202902001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056101051000 + 1056101051001.

It is an arithmetic number, because the mean of its divisors is an integer number (1056101051001).

Almost surely, 2^{2112202102001} is an apocalyptic number.

It is an amenable number.

2112202102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112202102001 is an equidigital number, since it uses as much as digits as its factorization.

2112202102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112202102001 its reverse (1002012022112), we get a palindrome (3114214124113).

The spelling of 2112202102001 in words is "two trillion, one hundred twelve billion, two hundred two million, one hundred two thousand, one".