102210212010012 has 48 divisors (see below), whose sum is σ = 238749394816800. Its totient is φ = 34033089267712.

The previous prime is 102210212009987. The next prime is 102210212010083. The reversal of 102210212010012 is 210010212012201.

102210212010012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102210212009973 and 102210212010000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194931058 + ... + 195454694.

It is an arithmetic number, because the mean of its divisors is an integer number (4973945725350).

Almost surely, 2^{102210212010012} is an apocalyptic number.

102210212010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210212010012 is an abundant number, since it is smaller than the sum of its proper divisors (136539182806788).

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

102210212010012 is a wasteful number, since it uses less digits than its factorization.

102210212010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541270 (or 541268 counting only the distinct ones).

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

Adding to 102210212010012 its reverse (210010212012201), we get a palindrome (312220424022213).

The spelling of 102210212010012 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, ten thousand, twelve".