211141200401 has 16 divisors (see below), whose sum is σ = 215421573120. Its totient is φ = 206915143680.

The previous prime is 211141200379. The next prime is 211141200407. The reversal of 211141200401 is 104002141112.

It is a cyclic number.

It is not a de Polignac number, because 211141200401 - 2³⁰ = 210067458577 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 211141200401.

It is not an unprimeable number, because it can be changed into a prime (211141200407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3769085 + ... + 3824693.

It is an arithmetic number, because the mean of its divisors is an integer number (13463848320).

Almost surely, 2^211141200401 is an apocalyptic number.

It is an amenable number.

211141200401 is a deficient number, since it is larger than the sum of its proper divisors (4280372719).

211141200401 is a wasteful number, since it uses less digits than its factorization.

211141200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56096.

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

Adding to 211141200401 its reverse (104002141112), we get a palindrome (315143341513).

The spelling of 211141200401 in words is "two hundred eleven billion, one hundred forty-one million, two hundred thousand, four hundred one".