2100020001101 has 64 divisors (see below), whose sum is σ = 2459564110080. Its totient is φ = 1773024215040.

The previous prime is 2100020001089. The next prime is 2100020001161. The reversal of 2100020001101 is 1011000200012.

It is a cyclic number.

It is not a de Polignac number, because 2100020001101 - 2²² = 2100015806797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100020001161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1097761721 + ... + 1097763633.

It is an arithmetic number, because the mean of its divisors is an integer number (38430689220).

Almost surely, 2^{2100020001101} is an apocalyptic number.

It is an amenable number.

2100020001101 is a deficient number, since it is larger than the sum of its proper divisors (359544108979).

2100020001101 is a wasteful number, since it uses less digits than its factorization.

2100020001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526.

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

Adding to 2100020001101 its reverse (1011000200012), we get a palindrome (3111020201113).

The spelling of 2100020001101 in words is "two trillion, one hundred billion, twenty million, one thousand, one hundred one".