1001001210112 has 288 divisors, whose sum is σ = 2164146647040. Its totient is φ = 461041827840.

The previous prime is 1001001210071. The next prime is 1001001210133. The reversal of 1001001210112 is 2110121001001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5240843937 + ... + 5240844127.

It is an arithmetic number, because the mean of its divisors is an integer number (7514398080).

Almost surely, 2^{1001001210112} 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 1001001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082073323520).

1001001210112 is an abundant number, since it is smaller than the sum of its proper divisors (1163145436928).

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

1001001210112 is a wasteful number, since it uses less digits than its factorization.

1001001210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001001210112 its reverse (2110121001001), we get a palindrome (3111122211113).

The spelling of 1001001210112 in words is "one trillion, one billion, one million, two hundred ten thousand, one hundred twelve".