221121011120100 has 288 divisors, whose sum is σ = 791374482124800. Its totient is φ = 46419659573760.

The previous prime is 221121011120003. The next prime is 221121011120143. The reversal of 221121011120100 is 1021110121122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221121011120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14918232 + ... + 25783631.

Almost surely, 2^{221121011120100} is an apocalyptic number.

221121011120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121011120100 is an abundant number, since it is smaller than the sum of its proper divisors (570253471004700).

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

221121011120100 is a wasteful number, since it uses less digits than its factorization.

221121011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40702099 (or 40702092 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221121011120100 its reverse (1021110121122), we get a palindrome (222142121241222).

The spelling of 221121011120100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, eleven million, one hundred twenty thousand, one hundred".