2100011212181 has 2 divisors, whose sum is σ = 2100011212182. Its totient is φ = 2100011212180.

The previous prime is 2100011212111. The next prime is 2100011212223. The reversal of 2100011212181 is 1812121100012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1423654648900 + 676356563281 = 1193170^2 + 822409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100011212181 is a prime.

It is a super-2 number, since 2×2100011212181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100011212111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050005606090 + 1050005606091.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005606091).

Almost surely, 2^{2100011212181} is an apocalyptic number.

It is an amenable number.

2100011212181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100011212181 is an equidigital number, since it uses as much as digits as its factorization.

2100011212181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 2100011212181 its reverse (1812121100012), we get a palindrome (3912132312193).

The spelling of 2100011212181 in words is "two trillion, one hundred billion, eleven million, two hundred twelve thousand, one hundred eighty-one".