2101020000001 has 8 divisors (see below), whose sum is σ = 2269046664360. Its totient is φ = 1933909012992.

The previous prime is 2101019999987. The next prime is 2101020000011. The reversal of 2101020000001 is 1000000201012.

It can be written as a sum of positive squares in 4 ways, for example, as 376922323600 + 1724097676401 = 613940^2 + 1313049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101020000001 - 2⁹ = 2101019999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101020000011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228914566 + ... + 228923743.

It is an arithmetic number, because the mean of its divisors is an integer number (283630833045).

Almost surely, 2^{2101020000001} is an apocalyptic number.

It is an amenable number.

2101020000001 is a deficient number, since it is larger than the sum of its proper divisors (168026664359).

2101020000001 is a wasteful number, since it uses less digits than its factorization.

2101020000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457838675.

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

Adding to 2101020000001 its reverse (1000000201012), we get a palindrome (3101020201013).

The spelling of 2101020000001 in words is "two trillion, one hundred one billion, twenty million, one", and thus it is an aban number.