201101111221122 has 80 divisors (see below), whose sum is σ = 542093778008640. Its totient is φ = 54433383482592.

The previous prime is 201101111221111. The next prime is 201101111221193. The reversal of 201101111221122 is 221122111101102.

It is a happy number.

201101111221122 is a `hidden beast` number, since 201 + 10 + 1 + 111 + 221 + 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 = 201101111221095 and 201101111221104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4666763733 + ... + 4666806824.

It is an arithmetic number, because the mean of its divisors is an integer number (6776172225108).

Almost surely, 2^{201101111221122} is an apocalyptic number.

201101111221122 is an abundant number, since it is smaller than the sum of its proper divisors (340992666787518).

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

201101111221122 is a wasteful number, since it uses less digits than its factorization.

201101111221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333570597 (or 9333570588 counting only the distinct ones).

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

Adding to 201101111221122 its reverse (221122111101102), we get a palindrome (422223222322224).

The spelling of 201101111221122 in words is "two hundred one trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".