102100210000 has 100 divisors (see below), whose sum is σ = 247735474272. Its totient is φ = 40750768000.

The previous prime is 102100209919. The next prime is 102100210007. The reversal of 102100210000 is 12001201.

102100210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4659069 + ... + 4680931.

Almost surely, 2^102100210000 is an apocalyptic number.

102100210000 is a gapful number since it is divisible by the number (10) 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 102100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123867737136).

102100210000 is an abundant number, since it is smaller than the sum of its proper divisors (145635264272).

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

102100210000 is an equidigital number, since it uses as much as digits as its factorization.

102100210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22358 (or 22337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102100210000 its reverse (12001201), we get a palindrome (102112211201).

The spelling of 102100210000 in words is "one hundred two billion, one hundred million, two hundred ten thousand".