201001122222112 has 48 divisors (see below), whose sum is σ = 399130033982400. Its totient is φ = 99636803976960.

The previous prime is 201001122222091. The next prime is 201001122222119. The reversal of 201001122222112 is 211222221100102.

It is a super-3 number, since 3×201001122222112³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 201001122222112.

It is not an unprimeable number, because it can be changed into a prime (201001122222119) 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 7 ways as a sum of consecutive naturals, for example, 28714564 + ... + 35021827.

It is an arithmetic number, because the mean of its divisors is an integer number (8315209041300).

Almost surely, 2^{201001122222112} is an apocalyptic number.

It is an amenable number.

201001122222112 is a deficient number, since it is larger than the sum of its proper divisors (198128911760288).

201001122222112 is a wasteful number, since it uses less digits than its factorization.

201001122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63737249 (or 63737241 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201001122222112 its reverse (211222221100102), we get a palindrome (412223343322214).

The spelling of 201001122222112 in words is "two hundred one trillion, one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".