12102100002120 has 64 divisors (see below), whose sum is σ = 36307681704000. Its totient is φ = 3227103849728.

The previous prime is 12102100002073. The next prime is 12102100002143. The reversal of 12102100002120 is 2120000120121.

It is a super-2 number, since 2×12102100002120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12102100002096 and 12102100002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269286 + ... + 5080874.

It is an arithmetic number, because the mean of its divisors is an integer number (567307526625).

Almost surely, 2^{12102100002120} is an apocalyptic number.

12102100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102100002120 is an abundant number, since it is smaller than the sum of its proper divisors (24205581701880).

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

12102100002120 is a wasteful number, since it uses less digits than its factorization.

12102100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838062 (or 3838058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102100002120 its reverse (2120000120121), we get a palindrome (14222100122241).

The spelling of 12102100002120 in words is "twelve trillion, one hundred two billion, one hundred million, two thousand, one hundred twenty".