102121112112 has 320 divisors, whose sum is σ = 285967030272. Its totient is φ = 31352832000.

The previous prime is 102121112099. The next prime is 102121112117. The reversal of 102121112112 is 211211121201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102121112091 and 102121112100.

It is not an unprimeable number, because it can be changed into a prime (102121112117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376830537 + ... + 376830807.

Almost surely, 2^102121112112 is an apocalyptic number.

102121112112 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 102121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142983515136).

102121112112 is an abundant number, since it is smaller than the sum of its proper divisors (183845918160).

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

102121112112 is a wasteful number, since it uses less digits than its factorization.

102121112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121112112 its reverse (211211121201), we get a palindrome (313332233313).

The spelling of 102121112112 in words is "one hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".