11101021002000 has 560 divisors, whose sum is σ = 40301397055920. Its totient is φ = 2956124160000.

The previous prime is 11101021001957. The next prime is 11101021002077. The reversal of 11101021002000 is 20012010111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1439193712896 + 9661827289104 = 1199664^2 + 3108348^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1121197050 + ... + 1121206950.

It is an arithmetic number, because the mean of its divisors is an integer number (71966780457).

Almost surely, 2^{11101021002000} is an apocalyptic number.

11101021002000 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 11101021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150698527960).

11101021002000 is an abundant number, since it is smaller than the sum of its proper divisors (29200376053920).

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

11101021002000 is an frugal number, since it uses more digits than its factorization.

11101021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11101021002000 its reverse (20012010111), we get a palindrome (11121033012111).

The spelling of 11101021002000 in words is "eleven trillion, one hundred one billion, twenty-one million, two thousand".