211102112020122 has 128 divisors (see below), whose sum is σ = 476271672215040. Its totient is φ = 69296326848000.

The previous prime is 211102112020099. The next prime is 211102112020153. The reversal of 211102112020122 is 221020211201112.

211102112020122 is a `hidden beast` number, since 21 + 110 + 211 + 202 + 0 + 122 = 666.

It is a super-2 number, since 2×211102112020122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211102112020095 and 211102112020104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12902755222 + ... + 12902771582.

It is an arithmetic number, because the mean of its divisors is an integer number (3720872439180).

Almost surely, 2^{211102112020122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102112020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238135836107520).

211102112020122 is an abundant number, since it is smaller than the sum of its proper divisors (265169560194918).

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

211102112020122 is a wasteful number, since it uses less digits than its factorization.

211102112020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20117 (or 20111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211102112020122 its reverse (221020211201112), we get a palindrome (432122323221234).

The spelling of 211102112020122 in words is "two hundred eleven trillion, one hundred two billion, one hundred twelve million, twenty thousand, one hundred twenty-two".