102112021000212 has 96 divisors (see below), whose sum is σ = 250956934300800. Its totient is φ = 32225916805632.

The previous prime is 102112021000141. The next prime is 102112021000219. The reversal of 102112021000212 is 212000120211201.

It is a junction number, because it is equal to n+sod(n) for n = 102112021000191 and 102112021000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112021000219) 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, 3360148714 + ... + 3360179102.

It is an arithmetic number, because the mean of its divisors is an integer number (2614134732300).

Almost surely, 2^{102112021000212} is an apocalyptic number.

102112021000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112021000212 is an abundant number, since it is smaller than the sum of its proper divisors (148844913300588).

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

102112021000212 is a wasteful number, since it uses less digits than its factorization.

102112021000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39065 (or 39063 counting only the distinct ones).

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

Adding to 102112021000212 its reverse (212000120211201), we get a palindrome (314112141211413).

The spelling of 102112021000212 in words is "one hundred two trillion, one hundred twelve billion, twenty-one million, two hundred twelve", and thus it is an aban number.