2100111211101 has 64 divisors (see below), whose sum is σ = 3086154973440. Its totient is φ = 1267031808000.

The previous prime is 2100111211039. The next prime is 2100111211141. The reversal of 2100111211101 is 1011121110012.

It is not a de Polignac number, because 2100111211101 - 2⁷ = 2100111210973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100111211141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9244011 + ... + 9468471.

It is an arithmetic number, because the mean of its divisors is an integer number (48221171460).

Almost surely, 2^{2100111211101} is an apocalyptic number.

It is an amenable number.

2100111211101 is a deficient number, since it is larger than the sum of its proper divisors (986043762339).

2100111211101 is a wasteful number, since it uses less digits than its factorization.

2100111211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224638.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2100111211101 its reverse (1011121110012), we get a palindrome (3111232321113).

The spelling of 2100111211101 in words is "two trillion, one hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred one".