102102012000212 has 24 divisors (see below), whose sum is σ = 204820954605120. Its totient is φ = 43625805727680.

The previous prime is 102102012000211. The next prime is 102102012000221. The reversal of 102102012000212 is 212000210201201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102012000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5508299537 + ... + 5508318072.

It is an arithmetic number, because the mean of its divisors is an integer number (8534206441880).

Almost surely, 2^{102102012000212} is an apocalyptic number.

It is an amenable number.

102102012000212 is an abundant number, since it is smaller than the sum of its proper divisors (102718942604908).

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

102102012000212 is a wasteful number, since it uses less digits than its factorization.

102102012000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016617951 (or 11016617949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102012000212 its reverse (212000210201201), we get a palindrome (314102222201413).

The spelling of 102102012000212 in words is "one hundred two trillion, one hundred two billion, twelve million, two hundred twelve", and thus it is an aban number.