221112100102000 has 40 divisors (see below), whose sum is σ = 534649058051472. Its totient is φ = 88444840040000.

The previous prime is 221112100101989. The next prime is 221112100102001. The reversal of 221112100102000 is 201001211122.

221112100102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112100102001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55278023026 + ... + 55278027025.

Almost surely, 2^{221112100102000} is an apocalyptic number.

221112100102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112100102000 is an abundant number, since it is smaller than the sum of its proper divisors (313536957949472).

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

221112100102000 is a wasteful number, since it uses less digits than its factorization.

221112100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110556050074 (or 110556050058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221112100102000 its reverse (201001211122), we get a palindrome (221313101313122).

The spelling of 221112100102000 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred million, one hundred two thousand".