201111210022122 has 96 divisors (see below), whose sum is σ = 450674227458000. Its totient is φ = 64765499526144.

The previous prime is 201111210022117. The next prime is 201111210022123. The reversal of 201111210022122 is 221220012111102.

201111210022122 is a `hidden beast` number, since 201 + 1 + 11 + 210 + 0 + 221 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94969683167121 + 106141526855001 = 9745239^2 + 10302501^2 .

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 = 201111210022095 and 201111210022104.

It is not an unprimeable number, because it can be changed into a prime (201111210022123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293092254 + ... + 293777622.

Almost surely, 2^{201111210022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201111210022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225337113729000).

201111210022122 is an abundant number, since it is smaller than the sum of its proper divisors (249563017435878).

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

201111210022122 is a wasteful number, since it uses less digits than its factorization.

201111210022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688520 (or 688517 counting only the distinct ones).

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

Adding to 201111210022122 its reverse (221220012111102), we get a palindrome (422331222133224).

The spelling of 201111210022122 in words is "two hundred one trillion, one hundred eleven billion, two hundred ten million, twenty-two thousand, one hundred twenty-two".