103212110103102 has 384 divisors, whose sum is σ = 302572299294720. Its totient is φ = 24555196293120.

The previous prime is 103212110103031. The next prime is 103212110103131. The reversal of 103212110103102 is 201301011212301.

103212110103102 is a `hidden beast` number, since 1 + 0 + 321 + 21 + 1 + 0 + 10 + 310 + 2 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6993156799 + ... + 6993171557.

It is an arithmetic number, because the mean of its divisors is an integer number (787948696080).

Almost surely, 2^{103212110103102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212110103102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151286149647360).

103212110103102 is an abundant number, since it is smaller than the sum of its proper divisors (199360189191618).

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

103212110103102 is a wasteful number, since it uses less digits than its factorization.

103212110103102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103212110103102 its reverse (201301011212301), we get a palindrome (304513121315403).

The spelling of 103212110103102 in words is "one hundred three trillion, two hundred twelve billion, one hundred ten million, one hundred three thousand, one hundred two".