221121011020100 has 72 divisors (see below), whose sum is σ = 511100304986880. Its totient is φ = 82747080593920.

The previous prime is 221121011020073. The next prime is 221121011020103. The reversal of 221121011020100 is 1020110121122.

It is not an unprimeable number, because it can be changed into a prime (221121011020103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 389150780 + ... + 389718579.

It is an arithmetic number, because the mean of its divisors is an integer number (7098615347040).

Almost surely, 2^{221121011020100} is an apocalyptic number.

221121011020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121011020100 is an abundant number, since it is smaller than the sum of its proper divisors (289979293966780).

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

221121011020100 is a wasteful number, since it uses less digits than its factorization.

221121011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778869557 (or 778869550 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221121011020100 its reverse (1020110121122), we get a palindrome (222141121141222).

The spelling of 221121011020100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, eleven million, twenty thousand, one hundred".