1002211102200 has 1152 divisors, whose sum is σ = 4055005463040. Its totient is φ = 202406400000.

The previous prime is 1002211102187. The next prime is 1002211102219. The reversal of 1002211102200 is 22011122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1992467149 + ... + 1992467651.

It is an arithmetic number, because the mean of its divisors is an integer number (3519970020).

Almost surely, 2^{1002211102200} is an apocalyptic number.

1002211102200 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 1002211102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027502731520).

1002211102200 is an abundant number, since it is smaller than the sum of its proper divisors (3052794360840).

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

1002211102200 is a wasteful number, since it uses less digits than its factorization.

1002211102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002211102200 its reverse (22011122001), we get a palindrome (1024222224201).

The spelling of 1002211102200 in words is "one trillion, two billion, two hundred eleven million, one hundred two thousand, two hundred".