102012021212112 has 480 divisors, whose sum is σ = 327332896714880. Its totient is φ = 30386903500800.

The previous prime is 102012021212041. The next prime is 102012021212119. The reversal of 102012021212112 is 211212120210201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012021212119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5570461068 + ... + 5570479380.

Almost surely, 2^{102012021212112} is an apocalyptic number.

102012021212112 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 102012021212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163666448357440).

102012021212112 is an abundant number, since it is smaller than the sum of its proper divisors (225320875502768).

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

102012021212112 is a wasteful number, since it uses less digits than its factorization.

102012021212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20160 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102012021212112 its reverse (211212120210201), we get a palindrome (313224141422313).

The spelling of 102012021212112 in words is "one hundred two trillion, twelve billion, twenty-one million, two hundred twelve thousand, one hundred twelve".