211111012101201 has 16 divisors (see below), whose sum is σ = 283123612928064. Its totient is φ = 139919630382144.

The previous prime is 211111012101193. The next prime is 211111012101359. The reversal of 211111012101201 is 102101210111112.

It is not a de Polignac number, because 211111012101201 - 2³ = 211111012101193 is a prime.

It is a super-2 number, since 2×211111012101201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211111012100201) 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, 1240231 + ... + 20585436.

It is an arithmetic number, because the mean of its divisors is an integer number (17695225808004).

Almost surely, 2^{211111012101201} is an apocalyptic number.

It is an amenable number.

211111012101201 is a deficient number, since it is larger than the sum of its proper divisors (72012600826863).

211111012101201 is a wasteful number, since it uses less digits than its factorization.

211111012101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21844480.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211111012101201 its reverse (102101210111112), we get a palindrome (313212222212313).

The spelling of 211111012101201 in words is "two hundred eleven trillion, one hundred eleven billion, twelve million, one hundred one thousand, two hundred one".