1020210323200 has 108 divisors (see below), whose sum is σ = 2525608694448. Its totient is φ = 408014848000.

The previous prime is 1020210323191. The next prime is 1020210323221. The reversal of 1020210323200 is 23230120201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 55434000 + ... + 55452400.

Almost surely, 2^{1020210323200} is an apocalyptic number.

1020210323200 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 1020210323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262804347224).

1020210323200 is an abundant number, since it is smaller than the sum of its proper divisors (1505398371248).

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

1020210323200 is an equidigital number, since it uses as much as digits as its factorization.

1020210323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27090 (or 27071 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1020210323200 its reverse (23230120201), we get a palindrome (1043440443401).

The spelling of 1020210323200 in words is "one trillion, twenty billion, two hundred ten million, three hundred twenty-three thousand, two hundred".