2001010102300 has 144 divisors (see below), whose sum is σ = 4819726517760. Its totient is φ = 714948192000.

The previous prime is 2001010102283. The next prime is 2001010102303. The reversal of 2001010102300 is 32010101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001010102303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64870281 + ... + 64901119.

It is an arithmetic number, because the mean of its divisors is an integer number (33470323040).

Almost surely, 2^{2001010102300} is an apocalyptic number.

2001010102300 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 2001010102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409863258880).

2001010102300 is an abundant number, since it is smaller than the sum of its proper divisors (2818716415460).

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

2001010102300 is a wasteful number, since it uses less digits than its factorization.

2001010102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31892 (or 31885 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2001010102300 its reverse (32010101002), we get a palindrome (2033020203302).

The spelling of 2001010102300 in words is "two trillion, one billion, ten million, one hundred two thousand, three hundred".