2101100020001 has 8 divisors (see below), whose sum is σ = 2213525791200. Its totient is φ = 1988858404800.

The previous prime is 2101100019979. The next prime is 2101100020007. The reversal of 2101100020001 is 1000200011012.

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 2101100020001 - 2⁶ = 2101100019937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101100020007) 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, 46015571 + ... + 46061208.

It is an arithmetic number, because the mean of its divisors is an integer number (276690723900).

Almost surely, 2^{2101100020001} is an apocalyptic number.

It is an amenable number.

2101100020001 is a deficient number, since it is larger than the sum of its proper divisors (112425771199).

2101100020001 is a wasteful number, since it uses less digits than its factorization.

2101100020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92077999.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101100020001 its reverse (1000200011012), we get a palindrome (3101300031013).

The spelling of 2101100020001 in words is "two trillion, one hundred one billion, one hundred million, twenty thousand, one".