102002110000 has 200 divisors, whose sum is σ = 283338427680. Its totient is φ = 34835712000.

The previous prime is 102002109977. The next prime is 102002110009. The reversal of 102002110000 is 11200201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (102002110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18827292 + ... + 18832708.

Almost surely, 2^102002110000 is an apocalyptic number.

102002110000 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 102002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141669213840).

102002110000 is an abundant number, since it is smaller than the sum of its proper divisors (181336317680).

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

102002110000 is an equidigital number, since it uses as much as digits as its factorization.

102002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5700 counting only the distinct ones).

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

Adding to 102002110000 its reverse (11200201), we get a palindrome (102013310201).

The spelling of 102002110000 in words is "one hundred two billion, two million, one hundred ten thousand".