211142011301 has 16 divisors (see below), whose sum is σ = 230807320128. Its totient is φ = 191966544000.

The previous prime is 211142011277. The next prime is 211142011337. The reversal of 211142011301 is 103110241112.

It is a cyclic number.

It is not a de Polignac number, because 211142011301 - 2⁶ = 211142011237 is a prime.

It is a super-2 number, since 2×211142011301² (a number of 23 digits) contains 22 as substring.

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 211142011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211142013301) 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, 12125201 + ... + 12142601.

It is an arithmetic number, because the mean of its divisors is an integer number (14425457508).

Almost surely, 2^211142011301 is an apocalyptic number.

It is an amenable number.

211142011301 is a deficient number, since it is larger than the sum of its proper divisors (19665308827).

211142011301 is a wasteful number, since it uses less digits than its factorization.

211142011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31412.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211142011301 its reverse (103110241112), we get a palindrome (314252252413).

The spelling of 211142011301 in words is "two hundred eleven billion, one hundred forty-two million, eleven thousand, three hundred one".