2100201000101 has 4 divisors (see below), whose sum is σ = 2100205351104. Its totient is φ = 2100196649100.

The previous prime is 2100201000077. The next prime is 2100201000119. The reversal of 2100201000101 is 1010001020012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100201000101 - 2²⁶ = 2100133891237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100201000301) 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 3 ways as a sum of consecutive naturals, for example, 1346045 + ... + 2451986.

It is an arithmetic number, because the mean of its divisors is an integer number (525051337776).

Almost surely, 2^{2100201000101} is an apocalyptic number.

It is an amenable number.

2100201000101 is a deficient number, since it is larger than the sum of its proper divisors (4351003).

2100201000101 is an equidigital number, since it uses as much as digits as its factorization.

2100201000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351002.

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

Adding to 2100201000101 its reverse (1010001020012), we get a palindrome (3110202020113).

It can be divided in two parts, 210020 and 1000101, that added together give a palindrome (1210121).

The spelling of 2100201000101 in words is "two trillion, one hundred billion, two hundred one million, one hundred one", and thus it is an aban number.