211102010112121 has 16 divisors (see below), whose sum is σ = 226045098954000. Its totient is φ = 196439786661888.

The previous prime is 211102010112029. The next prime is 211102010112127. The reversal of 211102010112121 is 121211010201112.

It can be written as a sum of positive squares in 8 ways, for example, as 16257709447225 + 194844300664896 = 4032085^2 + 13958664^2 .

It is a cyclic number.

It is not a de Polignac number, because 211102010112121 - 2²¹ = 211102008014969 is a prime.

It is a super-2 number, since 2×211102010112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211102010112095 and 211102010112104.

It is not an unprimeable number, because it can be changed into a prime (211102010112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20440555 + ... + 28983103.

It is an arithmetic number, because the mean of its divisors is an integer number (14127818684625).

Almost surely, 2^{211102010112121} is an apocalyptic number.

It is an amenable number.

211102010112121 is a deficient number, since it is larger than the sum of its proper divisors (14943088841879).

211102010112121 is a wasteful number, since it uses less digits than its factorization.

211102010112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558988.

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

Adding to 211102010112121 its reverse (121211010201112), we get a palindrome (332313020313233).

The spelling of 211102010112121 in words is "two hundred eleven trillion, one hundred two billion, ten million, one hundred twelve thousand, one hundred twenty-one".