11201022001000 has 64 divisors (see below), whose sum is σ = 28226575475280. Its totient is φ = 4135761964800.

The previous prime is 11201022000979. The next prime is 11201022001009. The reversal of 11201022001000 is 10022010211.

It can be written as a sum of positive squares in 8 ways, for example, as 7166299716 + 11193855701284 = 84654^2 + 3345722^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11201022001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430795539 + ... + 430821538.

Almost surely, 2^{11201022001000} is an apocalyptic number.

11201022001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201022001000 is an abundant number, since it is smaller than the sum of its proper divisors (17025553474280).

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

11201022001000 is a wasteful number, since it uses less digits than its factorization.

11201022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861617111 (or 861617097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201022001000 its reverse (10022010211), we get a palindrome (11211044011211).

The spelling of 11201022001000 in words is "eleven trillion, two hundred one billion, twenty-two million, one thousand".