2101102121101 has 8 divisors (see below), whose sum is σ = 2130013168760. Its totient is φ = 2072194555392.

The previous prime is 2101102121071. The next prime is 2101102121113. The reversal of 2101102121101 is 1011212011012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84491955625 + 2016610165476 = 290675^2 + 1420074^2 .

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 2101102121101 - 2⁹ = 2101102120589 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 (2101102121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356485 + ... + 2080693.

It is an arithmetic number, because the mean of its divisors is an integer number (266251646095).

Almost surely, 2^{2101102121101} is an apocalyptic number.

It is an amenable number.

2101102121101 is a deficient number, since it is larger than the sum of its proper divisors (28911047659).

2101102121101 is a wasteful number, since it uses less digits than its factorization.

2101102121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740975.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101102121101 its reverse (1011212011012), we get a palindrome (3112314132113).

The spelling of 2101102121101 in words is "two trillion, one hundred one billion, one hundred two million, one hundred twenty-one thousand, one hundred one".