2101102210101 has 8 divisors (see below), whose sum is σ = 2966261943744. Its totient is φ = 1318338641600.

The previous prime is 2101102210087. The next prime is 2101102210111. The reversal of 2101102210101 is 1010122011012.

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 2101102210101 - 2⁹ = 2101102209589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101102210111) 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 7 ways as a sum of consecutive naturals, for example, 20599041225 + ... + 20599041326.

It is an arithmetic number, because the mean of its divisors is an integer number (370782742968).

Almost surely, 2^{2101102210101} is an apocalyptic number.

It is an amenable number.

2101102210101 is a deficient number, since it is larger than the sum of its proper divisors (865159733643).

2101102210101 is a wasteful number, since it uses less digits than its factorization.

2101102210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41198082571.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101102210101 its reverse (1010122011012), we get a palindrome (3111224221113).

The spelling of 2101102210101 in words is "two trillion, one hundred one billion, one hundred two million, two hundred ten thousand, one hundred one".