211100001212121 has 32 divisors (see below), whose sum is σ = 323764980633600. Its totient is φ = 119847735843264.

The previous prime is 211100001211933. The next prime is 211100001212173. The reversal of 211100001212121 is 121212100001112.

It is a happy number.

It is not a de Polignac number, because 211100001212121 - 2¹⁰ = 211100001211097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211100001212121.

It is not an unprimeable number, because it can be changed into a prime (211100001214121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49175821 + ... + 53295978.

It is an arithmetic number, because the mean of its divisors is an integer number (10117655644800).

Almost surely, 2^{211100001212121} is an apocalyptic number.

211100001212121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211100001212121 is a deficient number, since it is larger than the sum of its proper divisors (112664979421479).

211100001212121 is a wasteful number, since it uses less digits than its factorization.

211100001212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102472445.

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

Adding to 211100001212121 its reverse (121212100001112), we get a palindrome (332312101213233).

The spelling of 211100001212121 in words is "two hundred eleven trillion, one hundred billion, one million, two hundred twelve thousand, one hundred twenty-one".