102001210000 has 100 divisors (see below), whose sum is σ = 247586818732. Its totient is φ = 40696128000.

The previous prime is 102001209901. The next prime is 102001210001. The reversal of 102001210000 is 12100201.

102001210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 48301490176 + 53699719824 = 219776^2 + 231732^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102001210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3957154 + ... + 3982846.

Almost surely, 2^102001210000 is an apocalyptic number.

102001210000 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 102001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123793409366).

102001210000 is an abundant number, since it is smaller than the sum of its proper divisors (145585608732).

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

102001210000 is an equidigital number, since it uses as much as digits as its factorization.

102001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26118 (or 26097 counting only the distinct ones).

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

Adding to 102001210000 its reverse (12100201), we get a palindrome (102013310201).

The spelling of 102001210000 in words is "one hundred two billion, one million, two hundred ten thousand".