201000121311 has 64 divisors (see below), whose sum is σ = 305247191040. Its totient is φ = 116543760000.

The previous prime is 201000121279. The next prime is 201000121313. The reversal of 201000121311 is 113121000102.

It is not a de Polignac number, because 201000121311 - 2⁵ = 201000121279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101565520 + ... + 101567498.

It is an arithmetic number, because the mean of its divisors is an integer number (4769487360).

Almost surely, 2^201000121311 is an apocalyptic number.

201000121311 is a deficient number, since it is larger than the sum of its proper divisors (104247069729).

201000121311 is a wasteful number, since it uses less digits than its factorization.

201000121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 201000121311 its reverse (113121000102), we get a palindrome (314121121413).

The spelling of 201000121311 in words is "two hundred one billion, one hundred twenty-one thousand, three hundred eleven".