211102132122 has 144 divisors (see below), whose sum is σ = 563512360320. Its totient is φ = 59031286272.

The previous prime is 211102132121. The next prime is 211102132193. The reversal of 211102132122 is 221231201112.

It is a super-2 number, since 2×211102132122² (a number of 23 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 = 211102132095 and 211102132104.

It is not an unprimeable number, because it can be changed into a prime (211102132121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1024954 + ... + 1213562.

It is an arithmetic number, because the mean of its divisors is an integer number (3913280280).

Almost surely, 2^211102132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281756180160).

211102132122 is an abundant number, since it is smaller than the sum of its proper divisors (352410228198).

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

211102132122 is a wasteful number, since it uses less digits than its factorization.

211102132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188687 (or 188668 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211102132122 its reverse (221231201112), we get a palindrome (432333333234).

The spelling of 211102132122 in words is "two hundred eleven billion, one hundred two million, one hundred thirty-two thousand, one hundred twenty-two".