211120100211201 has 16 divisors (see below), whose sum is σ = 281667153539520. Its totient is φ = 140659915397120.

The previous prime is 211120100211191. The next prime is 211120100211259. The reversal of 211120100211201 is 102112001021112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211120100211201 - 2⁵ = 211120100211169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211120100211701) 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, 30374161 + ... + 36671921.

It is an arithmetic number, because the mean of its divisors is an integer number (17604197096220).

Almost surely, 2^{211120100211201} is an apocalyptic number.

It is an amenable number.

211120100211201 is a deficient number, since it is larger than the sum of its proper divisors (70547053328319).

211120100211201 is a wasteful number, since it uses less digits than its factorization.

211120100211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304656.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211120100211201 its reverse (102112001021112), we get a palindrome (313232101232313).

The spelling of 211120100211201 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred million, two hundred eleven thousand, two hundred one".