221012112202112 has 128 divisors (see below), whose sum is σ = 549249308524800. Its totient is φ = 86060476016640.

The previous prime is 221012112202099. The next prime is 221012112202127. The reversal of 221012112202112 is 211202211210122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11365163 + ... + 23899605.

It is an arithmetic number, because the mean of its divisors is an integer number (4291010222850).

Almost surely, 2^{221012112202112} is an apocalyptic number.

221012112202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012112202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274624654262400).

221012112202112 is an abundant number, since it is smaller than the sum of its proper divisors (328237196322688).

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

221012112202112 is a wasteful number, since it uses less digits than its factorization.

221012112202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536264 (or 12536252 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221012112202112 its reverse (211202211210122), we get a palindrome (432214323412234).

The spelling of 221012112202112 in words is "two hundred twenty-one trillion, twelve billion, one hundred twelve million, two hundred two thousand, one hundred twelve".