11201112001000 has 32 divisors (see below), whose sum is σ = 26210602084680. Its totient is φ = 4480444800000.

The previous prime is 11201112000997. The next prime is 11201112001043. The reversal of 11201112001000 is 10021110211.

It can be written as a sum of positive squares in 4 ways, for example, as 3959964681156 + 7241147319844 = 1989966^2 + 2690938^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5600555001 + ... + 5600557000.

Almost surely, 2^{11201112001000} is an apocalyptic number.

11201112001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201112001000 is an abundant number, since it is smaller than the sum of its proper divisors (15009490083680).

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

11201112001000 is a wasteful number, since it uses less digits than its factorization.

11201112001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201112022 (or 11201112008 counting only the distinct ones).

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

Adding to 11201112001000 its reverse (10021110211), we get a palindrome (11211133111211).

The spelling of 11201112001000 in words is "eleven trillion, two hundred one billion, one hundred twelve million, one thousand".