210201200010112 has 128 divisors (see below), whose sum is σ = 445334238165600. Its totient is φ = 98651557724160.

The previous prime is 210201200010089. The next prime is 210201200010127. The reversal of 210201200010112 is 211010002102012.

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

It is a super-3 number, since 3×210201200010112³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 210201200010092 and 210201200010101.

It is a congruent number.

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, 40630128 + ... + 45510544.

Almost surely, 2^{210201200010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201200010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222667119082800).

210201200010112 is an abundant number, since it is smaller than the sum of its proper divisors (235133038155488).

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

210201200010112 is a wasteful number, since it uses less digits than its factorization.

210201200010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880784 (or 4880772 counting only the distinct ones).

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

Adding to 210201200010112 its reverse (211010002102012), we get a palindrome (421211202112124).

The spelling of 210201200010112 in words is "two hundred ten trillion, two hundred one billion, two hundred million, ten thousand, one hundred twelve".