102112000221 has 32 divisors (see below), whose sum is σ = 175220269056. Its totient is φ = 51334056000.

The previous prime is 102112000217. The next prime is 102112000223. The reversal of 102112000221 is 122000211201.

It is not a de Polignac number, because 102112000221 - 2² = 102112000217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112000197 and 102112000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112000223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7122570 + ... + 7136891.

It is an arithmetic number, because the mean of its divisors is an integer number (5475633408).

Almost surely, 2^102112000221 is an apocalyptic number.

102112000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112000221 is a deficient number, since it is larger than the sum of its proper divisors (73108268835).

102112000221 is a wasteful number, since it uses less digits than its factorization.

102112000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14259513.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102112000221 its reverse (122000211201), we get a palindrome (224112211422).

The spelling of 102112000221 in words is "one hundred two billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.