2110001200101 has 12 divisors (see below), whose sum is σ = 3227060659212. Its totient is φ = 1323922321536.

The previous prime is 2110001200063. The next prime is 2110001200123. The reversal of 2110001200101 is 1010021000112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 802145931876 + 1307855268225 = 895626^2 + 1143615^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2110001200101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110001200301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6895428606 + ... + 6895428911.

It is an arithmetic number, because the mean of its divisors is an integer number (268921721601).

Almost surely, 2^{2110001200101} is an apocalyptic number.

It is an amenable number.

2110001200101 is a deficient number, since it is larger than the sum of its proper divisors (1117059459111).

2110001200101 is a wasteful number, since it uses less digits than its factorization.

2110001200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790857540 (or 13790857537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2110001200101 its reverse (1010021000112), we get a palindrome (3120022200213).

The spelling of 2110001200101 in words is "two trillion, one hundred ten billion, one million, two hundred thousand, one hundred one".