211142041001 has 2 divisors, whose sum is σ = 211142041002. Its totient is φ = 211142041000.

The previous prime is 211142040983. The next prime is 211142041009. The reversal of 211142041001 is 100140241112.

211142041001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147839481001 + 63302560000 = 384499^2 + 251600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211142041001 is a prime.

It is a super-2 number, since 2×211142041001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211142041009) 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 as a sum of consecutive naturals, namely, 105571020500 + 105571020501.

It is an arithmetic number, because the mean of its divisors is an integer number (105571020501).

Almost surely, 2^211142041001 is an apocalyptic number.

It is an amenable number.

211142041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211142041001 is an equidigital number, since it uses as much as digits as its factorization.

211142041001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211142041001 its reverse (100140241112), we get a palindrome (311282282113).

The spelling of 211142041001 in words is "two hundred eleven billion, one hundred forty-two million, forty-one thousand, one".