2100012211081 has 2 divisors, whose sum is σ = 2100012211082. Its totient is φ = 2100012211080.

The previous prime is 2100012211057. The next prime is 2100012211109. The reversal of 2100012211081 is 1801122100012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1237231311481 + 862780899600 = 1112309^2 + 928860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100012211081 - 2⁵ = 2100012211049 is a prime.

It is a super-3 number, since 3×2100012211081³ (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 (2100012211001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050006105540 + 1050006105541.

It is an arithmetic number, because the mean of its divisors is an integer number (1050006105541).

Almost surely, 2^{2100012211081} is an apocalyptic number.

It is an amenable number.

2100012211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100012211081 is an equidigital number, since it uses as much as digits as its factorization.

2100012211081 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 19.

Adding to 2100012211081 its reverse (1801122100012), we get a palindrome (3901134311093).

The spelling of 2100012211081 in words is "two trillion, one hundred billion, twelve million, two hundred eleven thousand, eighty-one".