211102121101122 has 12 divisors (see below), whose sum is σ = 457387929052470. Its totient is φ = 70367373700368.

The previous prime is 211102121101051. The next prime is 211102121101189. The reversal of 211102121101122 is 221101121201112.

It is a happy number.

211102121101122 is a `hidden beast` number, since 211 + 10 + 212 + 110 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192561165442881 + 18540955658241 = 13876641^2 + 4305921^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11727895616729 = 211102121101122 / (2 + 1 + 1 + 1 + 0 + 2 + 1 + 2 + 1 + 1 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 211102121101095 and 211102121101104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5863947808347 + ... + 5863947808382.

Almost surely, 2^{211102121101122} is an apocalyptic number.

211102121101122 is an abundant number, since it is smaller than the sum of its proper divisors (246285807951348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211102121101122 is a wasteful number, since it uses less digits than its factorization.

211102121101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727895616737 (or 11727895616734 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211102121101122 its reverse (221101121201112), we get a palindrome (432203242302234).

The spelling of 211102121101122 in words is "two hundred eleven trillion, one hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-two".