2002011011200 has 192 divisors, whose sum is σ = 5288371198920. Its totient is φ = 746233856000.

The previous prime is 2002011011197. The next prime is 2002011011263. The reversal of 2002011011200 is 21101102002.

It can be written as a sum of positive squares in 12 ways, for example, as 775428181056 + 1226582830144 = 880584^2 + 1107512^2 .

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 23 ways as a sum of consecutive naturals, for example, 5312214 + ... + 5676586.

Almost surely, 2^{2002011011200} is an apocalyptic number.

2002011011200 is a gapful number since it is divisible by the number (20) 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 2002011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644185599460).

2002011011200 is an abundant number, since it is smaller than the sum of its proper divisors (3286360187720).

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

2002011011200 is a wasteful number, since it uses less digits than its factorization.

2002011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364515 (or 364498 counting only the distinct ones).

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

Adding to 2002011011200 its reverse (21101102002), we get a palindrome (2023112113202).

The spelling of 2002011011200 in words is "two trillion, two billion, eleven million, eleven thousand, two hundred".