211110110122002 has 128 divisors (see below), whose sum is σ = 534270035249664. Its totient is φ = 54114777520128.

The previous prime is 211110110121941. The next prime is 211110110122031. The reversal of 211110110122002 is 200221011011112.

It is a happy number.

It is a super-2 number, since 2×211110110122002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13352988 + ... + 24505560.

It is an arithmetic number, because the mean of its divisors is an integer number (4173984650388).

Almost surely, 2^{211110110122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110110122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267135017624832).

211110110122002 is an abundant number, since it is smaller than the sum of its proper divisors (323159925127662).

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

211110110122002 is a wasteful number, since it uses less digits than its factorization.

211110110122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153572.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211110110122002 its reverse (200221011011112), we get a palindrome (411331121133114).

It can be divided in two parts, 211110110 and 122002, that added together give a palindrome (211232112).

The spelling of 211110110122002 in words is "two hundred eleven trillion, one hundred ten billion, one hundred ten million, one hundred twenty-two thousand, two".