2102101101 has 12 divisors (see below), whose sum is σ = 3038887228. Its totient is φ = 1400238144.

The previous prime is 2102101073. The next prime is 2102101109. The reversal of 2102101101 is 1011012012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 894608100 + 1207493001 = 29910^2 + 34749^2 .

It is not a de Polignac number, because 2102101101 - 2⁹ = 2102100589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85360 + ... + 107193.

Almost surely, 2^2102101101 is an apocalyptic number.

It is an amenable number.

2102101101 is a deficient number, since it is larger than the sum of its proper divisors (936786127).

2102101101 is a wasteful number, since it uses less digits than its factorization.

2102101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193772 (or 193769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2102101101 is about 45848.6761095672. The cubic root of 2102101101 is about 1281.0061061489.

Adding to 2102101101 its reverse (1011012012), we get a palindrome (3113113113).

The spelling of 2102101101 in words is "two billion, one hundred two million, one hundred one thousand, one hundred one".