102221102112 has 96 divisors (see below), whose sum is σ = 280411020288. Its totient is φ = 32544036096.

The previous prime is 102221102107. The next prime is 102221102131. The reversal of 102221102112 is 211201122201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102221102091 and 102221102100.

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, 1474173 + ... + 1541955.

It is an arithmetic number, because the mean of its divisors is an integer number (2920948128).

Almost surely, 2^102221102112 is an apocalyptic number.

102221102112 is a gapful number since it is divisible by the number (12) 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 102221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140205510144).

102221102112 is an abundant number, since it is smaller than the sum of its proper divisors (178189918176).

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

102221102112 is a wasteful number, since it uses less digits than its factorization.

102221102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68502 (or 68494 counting only the distinct ones).

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

Adding to 102221102112 its reverse (211201122201), we get a palindrome (313422224313).

The spelling of 102221102112 in words is "one hundred two billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".