2100112011101 has 16 divisors (see below), whose sum is σ = 2395449116928. Its totient is φ = 1823959315200.

The previous prime is 2100112011091. The next prime is 2100112011121. The reversal of 2100112011101 is 1011102110012.

It is a cyclic number.

It is not a de Polignac number, because 2100112011101 - 2¹⁰ = 2100112010077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100112011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783785 + ... + 2194206.

It is an arithmetic number, because the mean of its divisors is an integer number (149715569808).

Almost surely, 2^{2100112011101} is an apocalyptic number.

It is an amenable number.

2100112011101 is a deficient number, since it is larger than the sum of its proper divisors (295337105827).

2100112011101 is a wasteful number, since it uses less digits than its factorization.

2100112011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981212.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2100112011101 its reverse (1011102110012), we get a palindrome (3111214121113).

The spelling of 2100112011101 in words is "two trillion, one hundred billion, one hundred twelve million, eleven thousand, one hundred one".