2102110002101 has 8 divisors (see below), whose sum is σ = 2155984858944. Its totient is φ = 2048359139680.

The previous prime is 2102110002049. The next prime is 2102110002131. The reversal of 2102110002101 is 1012000112012.

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

It is a cyclic number.

It is not a de Polignac number, because 2102110002101 - 2³⁰ = 2101036260277 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 (2102110002131) 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, 30964265 + ... + 31032078.

It is an arithmetic number, because the mean of its divisors is an integer number (269498107368).

Almost surely, 2^{2102110002101} is an apocalyptic number.

It is an amenable number.

2102110002101 is a deficient number, since it is larger than the sum of its proper divisors (53874856843).

2102110002101 is an equidigital number, since it uses as much as digits as its factorization.

2102110002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61997211.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102110002101 its reverse (1012000112012), we get a palindrome (3114110114113).

The spelling of 2102110002101 in words is "two trillion, one hundred two billion, one hundred ten million, two thousand, one hundred one".