2100000211001 has 16 divisors (see below), whose sum is σ = 2623558272000. Its totient is φ = 1633003681680.

The previous prime is 2100000210949. The next prime is 2100000211019. The reversal of 2100000211001 is 1001120000012.

It is not a de Polignac number, because 2100000211001 - 2¹⁰ = 2100000209977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100000211001.

It is not an unprimeable number, because it can be changed into a prime (2100000271001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27963251 + ... + 28038248.

It is an arithmetic number, because the mean of its divisors is an integer number (163972392000).

Almost surely, 2^{2100000211001} is an apocalyptic number.

It is an amenable number.

2100000211001 is a deficient number, since it is larger than the sum of its proper divisors (523558060999).

2100000211001 is a wasteful number, since it uses less digits than its factorization.

2100000211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56002004.

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

Adding to 2100000211001 its reverse (1001120000012), we get a palindrome (3101120211013).

The spelling of 2100000211001 in words is "two trillion, one hundred billion, two hundred eleven thousand, one".