211110101122121 has 8 divisors (see below), whose sum is σ = 211547505292200. Its totient is φ = 210672820334080.

The previous prime is 211110101122103. The next prime is 211110101122133. The reversal of 211110101122121 is 121221101011112.

It can be written as a sum of positive squares in 4 ways, for example, as 35044032040000 + 176066069082121 = 5919800^2 + 13268989^2 .

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 211110101122121 - 2²⁶ = 211110034013257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211110101122121.

It is not an unprimeable number, because it can be changed into a prime (211110101142121) 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, 27419516 + ... + 34264413.

It is an arithmetic number, because the mean of its divisors is an integer number (26443438161525).

Almost surely, 2^{211110101122121} is an apocalyptic number.

It is an amenable number.

211110101122121 is a deficient number, since it is larger than the sum of its proper divisors (437404170079).

211110101122121 is an equidigital number, since it uses as much as digits as its factorization.

211110101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61691019.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211110101122121 its reverse (121221101011112), we get a palindrome (332331202133233).

The spelling of 211110101122121 in words is "two hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".