102102121210212 has 18 divisors (see below), whose sum is σ = 258091473059238. Its totient is φ = 34034040403392.

The previous prime is 102102121210207. The next prime is 102102121210213. The reversal of 102102121210212 is 212012121201201.

102102121210212 is a `hidden beast` number, since 1 + 0 + 210 + 21 + 212 + 10 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92747185125156 + 9354936085056 = 9630534^2 + 3058584^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (102102121210213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418085016773 + ... + 1418085016844.

Almost surely, 2^{102102121210212} is an apocalyptic number.

102102121210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102121210212 is an abundant number, since it is smaller than the sum of its proper divisors (155989351849026).

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

102102121210212 is a wasteful number, since it uses less digits than its factorization.

102102121210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836170033627 (or 2836170033622 counting only the distinct ones).

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

Adding to 102102121210212 its reverse (212012121201201), we get a palindrome (314114242411413).

The spelling of 102102121210212 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-one million, two hundred ten thousand, two hundred twelve".