211211111100001 has 8 divisors (see below), whose sum is σ = 218872925761320. Its totient is φ = 203574541298688.

The previous prime is 211211111099981. The next prime is 211211111100023. The reversal of 211211111100001 is 100001111112112.

211211111100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106389962331601 + 104821148768400 = 10314551^2 + 10238220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211211111100001 - 2⁹ = 211211111099489 is a prime.

It is a super-2 number, since 2×211211111100001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211211111100401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6311197966 + ... + 6311231431.

It is an arithmetic number, because the mean of its divisors is an integer number (27359115720165).

Almost surely, 2^{211211111100001} is an apocalyptic number.

It is an amenable number.

211211111100001 is a deficient number, since it is larger than the sum of its proper divisors (7661814661319).

211211111100001 is a wasteful number, since it uses less digits than its factorization.

211211111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12622430003.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211211111100001 its reverse (100001111112112), we get a palindrome (311212222212113).

The spelling of 211211111100001 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred eleven million, one hundred thousand, one".