221012201010020 has 96 divisors (see below), whose sum is σ = 547038587977728. Its totient is φ = 73430605406592.

The previous prime is 221012201009989. The next prime is 221012201010047. The reversal of 221012201010020 is 20010102210122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221012201009977 and 221012201010004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143774792 + ... + 145303871.

It is an arithmetic number, because the mean of its divisors is an integer number (5698318624768).

Almost surely, 2^{221012201010020} is an apocalyptic number.

221012201010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012201010020 is an abundant number, since it is smaller than the sum of its proper divisors (326026386967708).

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

221012201010020 is a wasteful number, since it uses less digits than its factorization.

221012201010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289078849 (or 289078847 counting only the distinct ones).

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

Adding to 221012201010020 its reverse (20010102210122), we get a palindrome (241022303220142).

The spelling of 221012201010020 in words is "two hundred twenty-one trillion, twelve billion, two hundred one million, ten thousand, twenty".