1020221211200 has 42 divisors (see below), whose sum is σ = 2510381821746. Its totient is φ = 408088483840.

The previous prime is 1020221211179. The next prime is 1020221211221. The reversal of 1020221211200 is 21121220201.

It is an interprime number because it is at equal distance from previous prime (1020221211179) and next prime (1020221211221).

It can be written as a sum of positive squares in 3 ways, for example, as 87729700864 + 932491510336 = 296192^2 + 965656^2 .

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 5 ways as a sum of consecutive naturals, for example, 318817529 + ... + 318820728.

Almost surely, 2^{1020221211200} is an apocalyptic number.

1020221211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221211200 is an abundant number, since it is smaller than the sum of its proper divisors (1490160610546).

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

1020221211200 is an equidigital number, since it uses as much as digits as its factorization.

1020221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637638279 (or 637638264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020221211200 its reverse (21121220201), we get a palindrome (1041342431401).

Subtracting from 1020221211200 its reverse (21121220201), we obtain a palindrome (999099990999).

The spelling of 1020221211200 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".