2231120010001 has 2 divisors, whose sum is σ = 2231120010002. Its totient is φ = 2231120010000.

The previous prime is 2231120009999. The next prime is 2231120010071. The reversal of 2231120010001 is 1000100211322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1986476011776 + 244643998225 = 1409424^2 + 494615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231120010001 - 2¹ = 2231120009999 is a prime.

It is a super-3 number, since 3×2231120010001³ (a number of 38 digits) contains 333 as substring.

Together with 2231120009999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2231120010071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115560005000 + 1115560005001.

It is an arithmetic number, because the mean of its divisors is an integer number (1115560005001).

Almost surely, 2^{2231120010001} is an apocalyptic number.

It is an amenable number.

2231120010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231120010001 is an equidigital number, since it uses as much as digits as its factorization.

2231120010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2231120010001 its reverse (1000100211322), we get a palindrome (3231220221323).

The spelling of 2231120010001 in words is "two trillion, two hundred thirty-one billion, one hundred twenty million, ten thousand, one".