12102110010100 has 108 divisors (see below), whose sum is σ = 28880152505932. Its totient is φ = 4398614668800.

The previous prime is 12102110010083. The next prime is 12102110010101. The reversal of 12102110010100 is 101001120121.

It can be written as a sum of positive squares in 6 ways, for example, as 41242298724 + 12060867711376 = 203082^2 + 3472876^2 .

It is a super-2 number, since 2×12102110010100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102110010101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24597712 + ... + 25084888.

Almost surely, 2^{12102110010100} is an apocalyptic number.

12102110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440076252966).

12102110010100 is an abundant number, since it is smaller than the sum of its proper divisors (16778042495832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102110010100 is a wasteful number, since it uses less digits than its factorization.

12102110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489266 (or 489248 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12102110010100 its reverse (101001120121), we get a palindrome (12203111130221).

The spelling of 12102110010100 in words is "twelve trillion, one hundred two billion, one hundred ten million, ten thousand, one hundred".