2100211112101 has 8 divisors (see below), whose sum is σ = 2109970076760. Its totient is φ = 2090458516992.

The previous prime is 2100211111991. The next prime is 2100211112119. The reversal of 2100211112101 is 1012111120012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105693261025 + 1994517851076 = 325105^2 + 1412274^2 .

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 2100211112101 - 2¹⁵ = 2100211079333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100211119101) 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, 930766 + ... + 2250943.

It is an arithmetic number, because the mean of its divisors is an integer number (263746259595).

Almost surely, 2^{2100211112101} is an apocalyptic number.

It is an amenable number.

2100211112101 is a deficient number, since it is larger than the sum of its proper divisors (9758964659).

2100211112101 is a wasteful number, since it uses less digits than its factorization.

2100211112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184775.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2100211112101 its reverse (1012111120012), we get a palindrome (3112322232113).

The spelling of 2100211112101 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred twelve thousand, one hundred one".