2101301002016 has 96 divisors (see below), whose sum is σ = 4239705359232. Its totient is φ = 1024953753600.

The previous prime is 2101301002007. The next prime is 2101301002079. The reversal of 2101301002016 is 6102001031012.

It is a junction number, because it is equal to n+sod(n) for n = 2101301001985 and 2101301002003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71150645 + ... + 71180171.

It is an arithmetic number, because the mean of its divisors is an integer number (44163597492).

Almost surely, 2^{2101301002016} is an apocalyptic number.

It is an amenable number.

2101301002016 is an abundant number, since it is smaller than the sum of its proper divisors (2138404357216).

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

2101301002016 is a wasteful number, since it uses less digits than its factorization.

2101301002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29962 (or 29954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2101301002016 its reverse (6102001031012), we get a palindrome (8203302033028).

The spelling of 2101301002016 in words is "two trillion, one hundred one billion, three hundred one million, two thousand, sixteen".