2110102101101 has 8 divisors (see below), whose sum is σ = 2118003211800. Its totient is φ = 2102201412160.

The previous prime is 2110102101097. The next prime is 2110102101161. The reversal of 2110102101101 is 1011012010112.

It can be written as a sum of positive squares in 4 ways, for example, as 10993732201 + 2099108368900 = 104851^2 + 1448830^2 .

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 2110102101101 - 2² = 2110102101097 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 (2110102101161) 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, 12922595 + ... + 13084863.

It is an arithmetic number, because the mean of its divisors is an integer number (264750401475).

Almost surely, 2^{2110102101101} is an apocalyptic number.

It is an amenable number.

2110102101101 is a deficient number, since it is larger than the sum of its proper divisors (7901110699).

2110102101101 is a wasteful number, since it uses less digits than its factorization.

2110102101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210879.

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

Adding to 2110102101101 its reverse (1011012010112), we get a palindrome (3121114111213).

The spelling of 2110102101101 in words is "two trillion, one hundred ten billion, one hundred two million, one hundred one thousand, one hundred one".