211410401201 has 16 divisors (see below), whose sum is σ = 229850524800. Its totient is φ = 193702902528.

The previous prime is 211410401173. The next prime is 211410401203. The reversal of 211410401201 is 102104014112.

211410401201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-211410401201 is a prime.

It is a super-4 number, since 4×211410401201⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 211410401201.

It is not an unprimeable number, because it can be changed into a prime (211410401203) 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 15 ways as a sum of consecutive naturals, for example, 919886 + ... + 1126503.

It is an arithmetic number, because the mean of its divisors is an integer number (14365657800).

Almost surely, 2^211410401201 is an apocalyptic number.

It is an amenable number.

211410401201 is a deficient number, since it is larger than the sum of its proper divisors (18440123599).

211410401201 is a wasteful number, since it uses less digits than its factorization.

211410401201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046568.

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

Adding to 211410401201 its reverse (102104014112), we get a palindrome (313514415313).

The spelling of 211410401201 in words is "two hundred eleven billion, four hundred ten million, four hundred one thousand, two hundred one".