2102101110101 has 4 divisors (see below), whose sum is σ = 2102104183872. Its totient is φ = 2102098036332.

The previous prime is 2102101110077. The next prime is 2102101110121. The reversal of 2102101110101 is 1010111012012.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102101110101 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 (2102101110121) 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, 3716 + ... + 2050418.

It is an arithmetic number, because the mean of its divisors is an integer number (525526045968).

Almost surely, 2^{2102101110101} is an apocalyptic number.

It is an amenable number.

2102101110101 is a deficient number, since it is larger than the sum of its proper divisors (3073771).

2102101110101 is a wasteful number, since it uses less digits than its factorization.

2102101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073770.

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

Adding to 2102101110101 its reverse (1010111012012), we get a palindrome (3112212122113).

The spelling of 2102101110101 in words is "two trillion, one hundred two billion, one hundred one million, one hundred ten thousand, one hundred one".