201012110221100 has 72 divisors (see below), whose sum is σ = 446485937946048. Its totient is φ = 78509352398400.

The previous prime is 201012110221093. The next prime is 201012110221129. The reversal of 201012110221100 is 1122011210102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5567135 + ... + 20809065.

It is an arithmetic number, because the mean of its divisors is an integer number (6201193582584).

Almost surely, 2^{201012110221100} is an apocalyptic number.

201012110221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012110221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223242968973024).

201012110221100 is an abundant number, since it is smaller than the sum of its proper divisors (245473827724948).

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

201012110221100 is a wasteful number, since it uses less digits than its factorization.

201012110221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15245055 (or 15245048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201012110221100 its reverse (1122011210102), we get a palindrome (202134121431202).

The spelling of 201012110221100 in words is "two hundred one trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred".