2101102101 has 12 divisors (see below), whose sum is σ = 3468486112. Its totient is φ = 1200629736.

The previous prime is 2101102093. The next prime is 2101102123. The reversal of 2101102101 is 1012011012.

It is a happy number.

It is not a de Polignac number, because 2101102101 - 2³ = 2101102093 is a prime.

It is a super-2 number, since 2×2101102101² = 8829260077653228402, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101102181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16675351 + ... + 16675476.

Almost surely, 2^2101102101 is an apocalyptic number.

2101102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101102101 is a deficient number, since it is larger than the sum of its proper divisors (1367384011).

2101102101 is a wasteful number, since it uses less digits than its factorization.

2101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33350840 (or 33350837 counting only the distinct ones).

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

The square root of 2101102101 is about 45837.7802800266. The cubic root of 2101102101 is about 1280.8031460601.

Adding to 2101102101 its reverse (1012011012), we get a palindrome (3113113113).

The spelling of 2101102101 in words is "two billion, one hundred one million, one hundred two thousand, one hundred one".