2102111101001 has 4 divisors (see below), whose sum is σ = 2102757311172. Its totient is φ = 2101464890832.

The previous prime is 2102111100989. The next prime is 2102111101037. The reversal of 2102111101001 is 1001011112012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1979086240000 + 123024861001 = 1406800^2 + 350749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102111101001 - 2¹⁴ = 2102111084617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102111101061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323100206 + ... + 323106711.

It is an arithmetic number, because the mean of its divisors is an integer number (525689327793).

Almost surely, 2^{2102111101001} is an apocalyptic number.

It is an amenable number.

2102111101001 is a deficient number, since it is larger than the sum of its proper divisors (646210171).

2102111101001 is an equidigital number, since it uses as much as digits as its factorization.

2102111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646210170.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2102111101001 its reverse (1001011112012), we get a palindrome (3103122213013).

The spelling of 2102111101001 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred one thousand, one".