201210220202112 has 128 divisors (see below), whose sum is σ = 647835936379200. Its totient is φ = 60972793989120.

The previous prime is 201210220202107. The next prime is 201210220202149. The reversal of 201210220202112 is 211202022012102.

It is a happy number.

201210220202112 is a `hidden beast` number, since 2 + 0 + 1 + 210 + 220 + 20 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646350613 + ... + 2646426644.

Almost surely, 2^{201210220202112} is an apocalyptic number.

201210220202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201210220202112 is an abundant number, since it is smaller than the sum of its proper divisors (446625716177088).

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

201210220202112 is a wasteful number, since it uses less digits than its factorization.

201210220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292777291 (or 5292777273 counting only the distinct ones).

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

Adding to 201210220202112 its reverse (211202022012102), we get a palindrome (412412242214214).

The spelling of 201210220202112 in words is "two hundred one trillion, two hundred ten billion, two hundred twenty million, two hundred two thousand, one hundred twelve".