221121001010100 has 72 divisors (see below), whose sum is σ = 654655292331040. Its totient is φ = 57594307236480.

The previous prime is 221121001010033. The next prime is 221121001010123. The reversal of 221121001010100 is 1010100121122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8570568535 + ... + 8570594334.

Almost surely, 2^{221121001010100} is an apocalyptic number.

221121001010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121001010100 is an abundant number, since it is smaller than the sum of its proper divisors (433534291320940).

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

221121001010100 is a wasteful number, since it uses less digits than its factorization.

221121001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17141162929 (or 17141162922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221121001010100 its reverse (1010100121122), we get a palindrome (222131101131222).

The spelling of 221121001010100 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one million, ten thousand, one hundred".