211101112102121 has 16 divisors (see below), whose sum is σ = 213531017328720. Its totient is φ = 208672504381440.

The previous prime is 211101112102109. The next prime is 211101112102129. The reversal of 211101112102121 is 121201211101112.

It can be written as a sum of positive squares in 8 ways, for example, as 18369281683600 + 192731830418521 = 4285940^2 + 13882789^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101112102121 - 2²² = 211101107907817 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 211101112102121.

It is not an unprimeable number, because it can be changed into a prime (211101112102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6126491525 + ... + 6126525981.

It is an arithmetic number, because the mean of its divisors is an integer number (13345688583045).

Almost surely, 2^{211101112102121} is an apocalyptic number.

It is an amenable number.

211101112102121 is a deficient number, since it is larger than the sum of its proper divisors (2429905226599).

211101112102121 is an equidigital number, since it uses as much as digits as its factorization.

211101112102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51244.

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

Adding to 211101112102121 its reverse (121201211101112), we get a palindrome (332302323203233).

The spelling of 211101112102121 in words is "two hundred eleven trillion, one hundred one billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".