211102121212119 has 96 divisors (see below), whose sum is σ = 325229930707968. Its totient is φ = 131488955136000.

The previous prime is 211102121212049. The next prime is 211102121212123. The reversal of 211102121212119 is 911212121201112.

It is a happy number.

211102121212119 is a `hidden beast` number, since 2 + 1 + 110 + 212 + 121 + 211 + 9 = 666.

It is not a de Polignac number, because 211102121212119 - 2¹³ = 211102121203927 is a prime.

It is a super-2 number, since 2×211102121212119² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211102121212092 and 211102121212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102121212819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22527166504 + ... + 22527175874.

It is an arithmetic number, because the mean of its divisors is an integer number (3387811778208).

Almost surely, 2^{211102121212119} is an apocalyptic number.

211102121212119 is a deficient number, since it is larger than the sum of its proper divisors (114127809495849).

211102121212119 is a wasteful number, since it uses less digits than its factorization.

211102121212119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11589 (or 11586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 211102121212119 in words is "two hundred eleven trillion, one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred nineteen".