11112010001000 has 128 divisors (see below), whose sum is σ = 26361788787360. Its totient is φ = 4383662080000.

The previous prime is 11112010000963. The next prime is 11112010001039. The reversal of 11112010001000 is 10001021111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2439962713444 + 8672047287556 = 1562038^2 + 2944834^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 25742954 + ... + 26171046.

Almost surely, 2^{11112010001000} is an apocalyptic number.

11112010001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180894393680).

11112010001000 is an abundant number, since it is smaller than the sum of its proper divisors (15249778786360).

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

11112010001000 is a wasteful number, since it uses less digits than its factorization.

11112010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428472 (or 428458 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11112010001000 its reverse (10001021111), we get a palindrome (11122011022111).

The spelling of 11112010001000 in words is "eleven trillion, one hundred twelve billion, ten million, one thousand".