102212012000 has 96 divisors (see below), whose sum is σ = 287011408320. Its totient is φ = 35044108800.

The previous prime is 102212011969. The next prime is 102212012003. The reversal of 102212012000 is 210212201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797215 + ... + 1853214.

It is an arithmetic number, because the mean of its divisors is an integer number (2989702170).

Almost surely, 2^102212012000 is an apocalyptic number.

102212012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212012000 is an abundant number, since it is smaller than the sum of its proper divisors (184799396320).

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

102212012000 is an equidigital number, since it uses as much as digits as its factorization.

102212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650461 (or 3650443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102212012000 its reverse (210212201), we get a palindrome (102422224201).

The spelling of 102212012000 in words is "one hundred two billion, two hundred twelve million, twelve thousand".