2100112022101 has 8 divisors (see below), whose sum is σ = 2134588162520. Its totient is φ = 2065790138112.

The previous prime is 2100112022087. The next prime is 2100112022123. The reversal of 2100112022101 is 1012202110012.

It can be written as a sum of positive squares in 4 ways, for example, as 393914395876 + 1706197626225 = 627626^2 + 1306215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100112022101 - 2²¹ = 2100109924949 is a prime.

It is a super-2 number, since 2×2100112022101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100112025101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38536656 + ... + 38591113.

It is an arithmetic number, because the mean of its divisors is an integer number (266823520315).

Almost surely, 2^{2100112022101} is an apocalyptic number.

It is an amenable number.

2100112022101 is a deficient number, since it is larger than the sum of its proper divisors (34476140419).

2100112022101 is an equidigital number, since it uses as much as digits as its factorization.

2100112022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77128215.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100112022101 its reverse (1012202110012), we get a palindrome (3112314132113).

The spelling of 2100112022101 in words is "two trillion, one hundred billion, one hundred twelve million, twenty-two thousand, one hundred one".