1001102200112 has 80 divisors (see below), whose sum is σ = 2280711316800. Its totient is φ = 416751022080.

The previous prime is 1001102200081. The next prime is 1001102200157. The reversal of 1001102200112 is 2110022011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001102200093 and 1001102200102.

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, 575564 + ... + 1527572.

It is an arithmetic number, because the mean of its divisors is an integer number (28508891460).

Almost surely, 2^{1001102200112} 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 1001102200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140355658400).

1001102200112 is an abundant number, since it is smaller than the sum of its proper divisors (1279609116688).

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

1001102200112 is a wasteful number, since it uses less digits than its factorization.

1001102200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952294 (or 952288 counting only the distinct ones).

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

Adding to 1001102200112 its reverse (2110022011001), we get a palindrome (3111124211113).

The spelling of 1001102200112 in words is "one trillion, one billion, one hundred two million, two hundred thousand, one hundred twelve".