1000201102112 has 96 divisors (see below), whose sum is σ = 2028278387520. Its totient is φ = 485222072320.

The previous prime is 1000201102093. The next prime is 1000201102151. The reversal of 1000201102112 is 2112011020001.

It is a junction number, because it is equal to n+sod(n) for n = 1000201102093 and 1000201102102.

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, 505406339 + ... + 505408317.

It is an arithmetic number, because the mean of its divisors is an integer number (21127899870).

Almost surely, 2^{1000201102112} 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 1000201102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014139193760).

1000201102112 is an abundant number, since it is smaller than the sum of its proper divisors (1028077285408).

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

1000201102112 is a wasteful number, since it uses less digits than its factorization.

1000201102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000201102112 its reverse (2112011020001), we get a palindrome (3112212122113).

The spelling of 1000201102112 in words is "one trillion, two hundred one million, one hundred two thousand, one hundred twelve".