201021111121122 has 144 divisors (see below), whose sum is σ = 459739342782720. Its totient is φ = 63470238904512.

The previous prime is 201021111121109. The next prime is 201021111121133. The reversal of 201021111121122 is 221121111120102.

It is a happy number.

201021111121122 is a `hidden beast` number, since 201 + 0 + 211 + 11 + 121 + 122 = 666.

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 = 201021111121095 and 201021111121104.

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 71 ways as a sum of consecutive naturals, for example, 1892034933 + ... + 1892141175.

It is an arithmetic number, because the mean of its divisors is an integer number (3192634324880).

Almost surely, 2^{201021111121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021111121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229869671391360).

201021111121122 is an abundant number, since it is smaller than the sum of its proper divisors (258718231661598).

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

201021111121122 is a wasteful number, since it uses less digits than its factorization.

201021111121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108229 (or 108203 counting only the distinct ones).

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

Adding to 201021111121122 its reverse (221121111120102), we get a palindrome (422142222241224).

The spelling of 201021111121122 in words is "two hundred one trillion, twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".