102212102000 has 40 divisors (see below), whose sum is σ = 247148867472. Its totient is φ = 40884840000.

The previous prime is 102212101997. The next prime is 102212102009. The reversal of 102212102000 is 201212201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25551026 + ... + 25555025.

Almost surely, 2^102212102000 is an apocalyptic number.

102212102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212102000 is an abundant number, since it is smaller than the sum of its proper divisors (144936765472).

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

102212102000 is an equidigital number, since it uses as much as digits as its factorization.

102212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51106074 (or 51106058 counting only the distinct ones).

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

Adding to 102212102000 its reverse (201212201), we get a palindrome (102413314201).

The spelling of 102212102000 in words is "one hundred two billion, two hundred twelve million, one hundred two thousand".