1020233002200 has 576 divisors, whose sum is σ = 3417441984000. Its totient is φ = 251684858880.

The previous prime is 1020233002177. The next prime is 1020233002247. The reversal of 1020233002200 is 22003320201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020233002200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1865142327 + ... + 1865142873.

It is an arithmetic number, because the mean of its divisors is an integer number (5933059000).

Almost surely, 2^{1020233002200} is an apocalyptic number.

1020233002200 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 1020233002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708720992000).

1020233002200 is an abundant number, since it is smaller than the sum of its proper divisors (2397208981800).

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

1020233002200 is a wasteful number, since it uses less digits than its factorization.

1020233002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1020233002200 its reverse (22003320201), we get a palindrome (1042236322401).

The spelling of 1020233002200 in words is "one trillion, twenty billion, two hundred thirty-three million, two thousand, two hundred".