201102110221122 has 128 divisors (see below), whose sum is σ = 509503093125120. Its totient is φ = 58200370715520.

The previous prime is 201102110221109. The next prime is 201102110221123. The reversal of 201102110221122 is 221122011201102.

201102110221122 is a `hidden beast` number, since 2 + 0 + 110 + 211 + 0 + 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 = 201102110221095 and 201102110221104.

It is not an unprimeable number, because it can be changed into a prime (201102110221123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2536123 + ... + 20214750.

It is an arithmetic number, because the mean of its divisors is an integer number (3980492915040).

Almost surely, 2^{201102110221122} is an apocalyptic number.

201102110221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201102110221122 is an abundant number, since it is smaller than the sum of its proper divisors (308400982903998).

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

201102110221122 is a wasteful number, since it uses less digits than its factorization.

201102110221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22751565 (or 22751559 counting only the distinct ones).

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

Adding to 201102110221122 its reverse (221122011201102), we get a palindrome (422224121422224).

The spelling of 201102110221122 in words is "two hundred one trillion, one hundred two billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty-two".