221330202100000 has 216 divisors, whose sum is σ = 633566570745780. Its totient is φ = 75884639040000.

The previous prime is 221330202099977. The next prime is 221330202100009. The reversal of 221330202100000 is 1202033122.

It can be written as a sum of positive squares in 6 ways, for example, as 45519256265616 + 175810945834384 = 6746796^2 + 13259372^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221330202100009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17684715 + ... + 27484714.

Almost surely, 2^{221330202100000} is an apocalyptic number.

221330202100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221330202100000 is an abundant number, since it is smaller than the sum of its proper divisors (412236368645780).

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

221330202100000 is an frugal number, since it uses more digits than its factorization.

221330202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45169478 (or 45169443 counting only the distinct ones).

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

Adding to 221330202100000 its reverse (1202033122), we get a palindrome (221331404133122).

The spelling of 221330202100000 in words is "two hundred twenty-one trillion, three hundred thirty billion, two hundred two million, one hundred thousand".