221112100022100 has 144 divisors (see below), whose sum is σ = 750904659942528. Its totient is φ = 49173965084160.

The previous prime is 221112100022003. The next prime is 221112100022123. The reversal of 221112100022100 is 1220001211122.

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 221112100022100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1422780087 + ... + 1422935486.

Almost surely, 2^{221112100022100} is an apocalyptic number.

221112100022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112100022100 is an abundant number, since it is smaller than the sum of its proper divisors (529792559920428).

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

221112100022100 is a wasteful number, since it uses less digits than its factorization.

221112100022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845715634 (or 2845715627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221112100022100 its reverse (1220001211122), we get a palindrome (222332101233222).

The spelling of 221112100022100 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred million, twenty-two thousand, one hundred".