11102001202000 has 40 divisors (see below), whose sum is σ = 26844638911272. Its totient is φ = 4440800480000.

The previous prime is 11102001201997. The next prime is 11102001202009. The reversal of 11102001202000 is 20210020111.

It can be written as a sum of positive squares in 4 ways, for example, as 60097541904 + 11041903660096 = 245148^2 + 3322936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102001202009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2775498301 + ... + 2775502300.

Almost surely, 2^{11102001202000} is an apocalyptic number.

11102001202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102001202000 is an abundant number, since it is smaller than the sum of its proper divisors (15742637709272).

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

11102001202000 is an equidigital number, since it uses as much as digits as its factorization.

11102001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551000624 (or 5551000608 counting only the distinct ones).

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

Adding to 11102001202000 its reverse (20210020111), we get a palindrome (11122211222111).

The spelling of 11102001202000 in words is "eleven trillion, one hundred two billion, one million, two hundred two thousand".