2100112112201 has 2 divisors, whose sum is σ = 2100112112202. Its totient is φ = 2100112112200.

The previous prime is 2100112112191. The next prime is 2100112112213. The reversal of 2100112112201 is 1022112110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1087955388601 + 1012156723600 = 1043051^2 + 1006060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100112112201 - 2³⁴ = 2082932243017 is a prime.

It is a super-3 number, since 3×2100112112201³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2100112112221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050056056100 + 1050056056101.

It is an arithmetic number, because the mean of its divisors is an integer number (1050056056101).

Almost surely, 2^{2100112112201} is an apocalyptic number.

It is an amenable number.

2100112112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100112112201 is an equidigital number, since it uses as much as digits as its factorization.

2100112112201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2100112112201 its reverse (1022112110012), we get a palindrome (3122224222213).

The spelling of 2100112112201 in words is "two trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, two hundred one".