210102200000000 has 1080 divisors, whose sum is σ = 666248389349400. Its totient is φ = 65452800000000.

The previous prime is 210102199999943. The next prime is 210102200000029. The reversal of 210102200000000 is 2201012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107799999026 + ... + 107800000974.

It is an arithmetic number, because the mean of its divisors is an integer number (616896656805).

Almost surely, 2^{210102200000000} is an apocalyptic number.

210102200000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210102200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333124194674700).

210102200000000 is an abundant number, since it is smaller than the sum of its proper divisors (456146189349400).

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

210102200000000 is an frugal number, since it uses more digits than its factorization.

210102200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 210102200000000 its reverse (2201012), we get a palindrome (210102202201012).

The spelling of 210102200000000 in words is "two hundred ten trillion, one hundred two billion, two hundred million", and thus it is an aban number.