1001210112112 has 80 divisors (see below), whose sum is σ = 2272720411584. Its totient is φ = 418314240000.

The previous prime is 1001210112079. The next prime is 1001210112139. The reversal of 1001210112112 is 2112110121001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001210112092 and 1001210112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6169612 + ... + 6329812.

Almost surely, 2^{1001210112112} 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 1001210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136360205792).

1001210112112 is an abundant number, since it is smaller than the sum of its proper divisors (1271510299472).

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

1001210112112 is a wasteful number, since it uses less digits than its factorization.

1001210112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161618 (or 161612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001210112112 its reverse (2112110121001), we get a palindrome (3113320233113).

The spelling of 1001210112112 in words is "one trillion, one billion, two hundred ten million, one hundred twelve thousand, one hundred twelve".