12102100100211 has 128 divisors (see below), whose sum is σ = 18913720320000. Its totient is φ = 6813409075200.

The previous prime is 12102100100201. The next prime is 12102100100231. The reversal of 12102100100211 is 11200100120121.

It is not a de Polignac number, because 12102100100211 - 2¹⁵ = 12102100067443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12102100100201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1459662976 + ... + 1459671266.

It is an arithmetic number, because the mean of its divisors is an integer number (147763440000).

Almost surely, 2^{12102100100211} is an apocalyptic number.

12102100100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12102100100211 is a deficient number, since it is larger than the sum of its proper divisors (6811620219789).

12102100100211 is a wasteful number, since it uses less digits than its factorization.

12102100100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102100100211 its reverse (11200100120121), we get a palindrome (23302200220332).

The spelling of 12102100100211 in words is "twelve trillion, one hundred two billion, one hundred million, one hundred thousand, two hundred eleven".