201102022202112 has 432 divisors, whose sum is σ = 604045936515840. Its totient is φ = 64268066193408.

The previous prime is 201102022202063. The next prime is 201102022202117. The reversal of 201102022202112 is 211202220201102.

It is a happy number.

201102022202112 is a `hidden beast` number, since 20 + 1 + 10 + 202 + 220 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201102022202117) 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 47 ways as a sum of consecutive naturals, for example, 5915270298 + ... + 5915304294.

Almost surely, 2^{201102022202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302022968257920).

201102022202112 is an abundant number, since it is smaller than the sum of its proper divisors (402943914313728).

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

201102022202112 is a wasteful number, since it uses less digits than its factorization.

201102022202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668 (or 34651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201102022202112 its reverse (211202220201102), we get a palindrome (412304242403214).

The spelling of 201102022202112 in words is "two hundred one trillion, one hundred two billion, twenty-two million, two hundred two thousand, one hundred twelve".