102001101010000 has 100 divisors (see below), whose sum is σ = 247120754560900. Its totient is φ = 40773033216000.

The previous prime is 102001101009919. The next prime is 102001101010001. The reversal of 102001101010000 is 10101100201.

It can be written as a sum of positive squares in 10 ways, for example, as 92051820564496 + 9949280445504 = 9594364^2 + 3154248^2 .

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 (102001101010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11464846 + ... + 18315154.

It is an arithmetic number, because the mean of its divisors is an integer number (2471207545609).

Almost surely, 2^{102001101010000} is an apocalyptic number.

102001101010000 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 102001101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123560377280450).

102001101010000 is an abundant number, since it is smaller than the sum of its proper divisors (145119653550900).

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

102001101010000 is an equidigital number, since it uses as much as digits as its factorization.

102001101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851826 (or 6851805 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102001101010000 its reverse (10101100201), we get a palindrome (102011202110201).

The spelling of 102001101010000 in words is "one hundred two trillion, one billion, one hundred one million, ten thousand".