201102201112122 has 24 divisors (see below), whose sum is σ = 446348787835860. Its totient is φ = 65399089792320.

The previous prime is 201102201112121. The next prime is 201102201112123. The reversal of 201102201112122 is 221211102201102.

201102201112122 is a `hidden beast` number, since 201 + 10 + 220 + 1 + 112 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (201102201112121) and next prime (201102201112123).

It can be written as a sum of positive squares in 2 ways, for example, as 143738255049921 + 57363946062201 = 11989089^2 + 7573899^2 .

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 = 201102201112095 and 201102201112104.

It is not an unprimeable number, because it can be changed into a prime (201102201112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136248102997 + ... + 136248104472.

Almost surely, 2^{201102201112122} is an apocalyptic number.

201102201112122 is an abundant number, since it is smaller than the sum of its proper divisors (245246586723738).

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

201102201112122 is a wasteful number, since it uses less digits than its factorization.

201102201112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272496207518 (or 272496207515 counting only the distinct ones).

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

Adding to 201102201112122 its reverse (221211102201102), we get a palindrome (422313303313224).

The spelling of 201102201112122 in words is "two hundred one trillion, one hundred two billion, two hundred one million, one hundred twelve thousand, one hundred twenty-two".