201101022000112 has 40 divisors (see below), whose sum is σ = 419933090339840. Its totient is φ = 92743287102720.

The previous prime is 201101022000089. The next prime is 201101022000121. The reversal of 201101022000112 is 211000220101102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 201101022000092 and 201101022000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377697939 + ... + 378230002.

It is an arithmetic number, because the mean of its divisors is an integer number (10498327258496).

Almost surely, 2^{201101022000112} is an apocalyptic number.

It is an amenable number.

201101022000112 is an abundant number, since it is smaller than the sum of its proper divisors (218832068339728).

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

201101022000112 is a wasteful number, since it uses less digits than its factorization.

201101022000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755929241 (or 755929235 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201101022000112 its reverse (211000220101102), we get a palindrome (412101242101214).

The spelling of 201101022000112 in words is "two hundred one trillion, one hundred one billion, twenty-two million, one hundred twelve", and thus it is an aban number.