102112213104 has 120 divisors (see below), whose sum is σ = 312768648192. Its totient is φ = 30842156160.

The previous prime is 102112213031. The next prime is 102112213121. The reversal of 102112213104 is 401312211201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381297 + ... + 591279.

Almost surely, 2^102112213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156384324096).

102112213104 is an abundant number, since it is smaller than the sum of its proper divisors (210656435088).

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

102112213104 is a wasteful number, since it uses less digits than its factorization.

102112213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210315 (or 210306 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102112213104 its reverse (401312211201), we get a palindrome (503424424305).

The spelling of 102112213104 in words is "one hundred two billion, one hundred twelve million, two hundred thirteen thousand, one hundred four".