2101003210000 has 100 divisors (see below), whose sum is σ = 5182716384252. Its totient is φ = 824544448000.

The previous prime is 2101003209959. The next prime is 2101003210001. The reversal of 2101003210000 is 123001012.

It can be written as a sum of positive squares in 10 ways, for example, as 1028974899456 + 1072028310544 = 1014384^2 + 1035388^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (2101003210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1452079 + ... + 2512078.

Almost surely, 2^{2101003210000} is an apocalyptic number.

2101003210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101003210000 is an abundant number, since it is smaller than the sum of its proper divisors (3081713174252).

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

2101003210000 is an equidigital number, since it uses as much as digits as its factorization.

2101003210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964238 (or 3964217 counting only the distinct ones).

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

Adding to 2101003210000 its reverse (123001012), we get a palindrome (2101126211012).

The spelling of 2101003210000 in words is "two trillion, one hundred one billion, three million, two hundred ten thousand".