221110012101100 has 72 divisors (see below), whose sum is σ = 496357900592400. Its totient is φ = 85393515513600.

The previous prime is 221110012101059. The next prime is 221110012101101. The reversal of 221110012101100 is 1101210011122.

It is a happy number.

221110012101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221110012101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487585266 + ... + 488038534.

It is an arithmetic number, because the mean of its divisors is an integer number (6893859730450).

Almost surely, 2^{221110012101100} is an apocalyptic number.

221110012101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110012101100 is an abundant number, since it is smaller than the sum of its proper divisors (275247888491300).

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

221110012101100 is a wasteful number, since it uses less digits than its factorization.

221110012101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621523 (or 621516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221110012101100 its reverse (1101210011122), we get a palindrome (222211222112222).

The spelling of 221110012101100 in words is "two hundred twenty-one trillion, one hundred ten billion, twelve million, one hundred one thousand, one hundred".