2102012218081 has 2 divisors, whose sum is σ = 2102012218082. Its totient is φ = 2102012218080.

The previous prime is 2102012218079. The next prime is 2102012218153. The reversal of 2102012218081 is 1808122102012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1256228505856 + 845783712225 = 1120816^2 + 919665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102012218081 - 2¹ = 2102012218079 is a prime.

It is a super-2 number, since 2×2102012218081² (a number of 25 digits) contains 22 as substring.

Together with 2102012218079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2102012258081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051006109040 + 1051006109041.

It is an arithmetic number, because the mean of its divisors is an integer number (1051006109041).

Almost surely, 2^{2102012218081} is an apocalyptic number.

It is an amenable number.

2102012218081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102012218081 is an equidigital number, since it uses as much as digits as its factorization.

2102012218081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 28.

The spelling of 2102012218081 in words is "two trillion, one hundred two billion, twelve million, two hundred eighteen thousand, eighty-one".