221112120202100 has 18 divisors (see below), whose sum is σ = 479813300838774. Its totient is φ = 88444848080800.

The previous prime is 221112120202037. The next prime is 221112120202147. The reversal of 221112120202100 is 1202021211122.

It can be written as a sum of positive squares in 3 ways, for example, as 57474502465636 + 163637617736464 = 7581194^2 + 12792092^2 .

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 5 ways as a sum of consecutive naturals, for example, 1105560600911 + ... + 1105560601110.

It is an arithmetic number, because the mean of its divisors is an integer number (26656294491043).

Almost surely, 2^{221112120202100} is an apocalyptic number.

221112120202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112120202100 is an abundant number, since it is smaller than the sum of its proper divisors (258701180636674).

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

221112120202100 is a wasteful number, since it uses less digits than its factorization.

221112120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211121202035 (or 2211121202028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221112120202100 its reverse (1202021211122), we get a palindrome (222314141413222).

The spelling of 221112120202100 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty million, two hundred two thousand, one hundred".