201102121002112 has 128 divisors (see below), whose sum is σ = 464161498476480. Its totient is φ = 85773071155200.

The previous prime is 201102121002109. The next prime is 201102121002121. The reversal of 201102121002112 is 211200121201102.

201102121002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (16).

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, 4768513 + ... + 20614144.

Almost surely, 2^{201102121002112} is an apocalyptic number.

201102121002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201102121002112 is an abundant number, since it is smaller than the sum of its proper divisors (263059377474368).

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

201102121002112 is a wasteful number, since it uses less digits than its factorization.

201102121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25383030 (or 25383018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201102121002112 its reverse (211200121201102), we get a palindrome (412302242203214).

The spelling of 201102121002112 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-one million, two thousand, one hundred twelve".