201021212011122 has 56 divisors (see below), whose sum is σ = 467680257076140. Its totient is φ = 64696482012960.

The previous prime is 201021212011043. The next prime is 201021212011141. The reversal of 201021212011122 is 221110212120102.

201021212011122 is a `hidden beast` number, since 201 + 0 + 212 + 120 + 11 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197677722963681 + 3343489047441 = 14059791^2 + 1828521^2 .

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 = 201021212011095 and 201021212011104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2377106529 + ... + 2377191092.

Almost surely, 2^{201021212011122} is an apocalyptic number.

201021212011122 is an abundant number, since it is smaller than the sum of its proper divisors (266659045065018).

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

201021212011122 is an equidigital number, since it uses as much as digits as its factorization.

201021212011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754297670 (or 4754297655 counting only the distinct ones).

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

Adding to 201021212011122 its reverse (221110212120102), we get a palindrome (422131424131224).

The spelling of 201021212011122 in words is "two hundred one trillion, twenty-one billion, two hundred twelve million, eleven thousand, one hundred twenty-two".