2102111110001 has 8 divisors (see below), whose sum is σ = 2404610704704. Its totient is φ = 1800161017200.

The previous prime is 2102111109947. The next prime is 2102111110049. The reversal of 2102111110001 is 1000111112012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2102111110001 - 2³⁸ = 1827233203057 is a prime.

It is a super-2 number, since 2×2102111110001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102111710001) 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, 137367275 + ... + 137382576.

It is an arithmetic number, because the mean of its divisors is an integer number (300576338088).

Almost surely, 2^{2102111110001} is an apocalyptic number.

It is an amenable number.

2102111110001 is a deficient number, since it is larger than the sum of its proper divisors (302499594703).

2102111110001 is a wasteful number, since it uses less digits than its factorization.

2102111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274750951.

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

Adding to 2102111110001 its reverse (1000111112012), we get a palindrome (3102222222013).

The spelling of 2102111110001 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred ten thousand, one".