12102100101 has 48 divisors (see below), whose sum is σ = 21566563200. Its totient is φ = 6368181120.

The previous prime is 12102100091. The next prime is 12102100111. The reversal of 12102100101 is 10100120121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12102100091) and next prime (12102100111).

It is not a de Polignac number, because 12102100101 - 2⁶ = 12102100037 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102100111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327250 + ... + 362348.

It is an arithmetic number, because the mean of its divisors is an integer number (449303400).

Almost surely, 2^12102100101 is an apocalyptic number.

It is an amenable number.

12102100101 is a deficient number, since it is larger than the sum of its proper divisors (9464463099).

12102100101 is a wasteful number, since it uses less digits than its factorization.

12102100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35546 (or 35543 counting only the distinct ones).

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

Adding to 12102100101 its reverse (10100120121), we get a palindrome (22202220222).

The spelling of 12102100101 in words is "twelve billion, one hundred two million, one hundred thousand, one hundred one".