2002111112081 has 2 divisors, whose sum is σ = 2002111112082. Its totient is φ = 2002111112080.

The previous prime is 2002111111993. The next prime is 2002111112117. The reversal of 2002111112081 is 1802111112002.

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., 1921872051856 + 80239060225 = 1386316^2 + 283265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002111112081 - 2³⁴ = 1984931242897 is a prime.

It is a super-2 number, since 2×2002111112081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002111111081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055556040 + 1001055556041.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055556041).

Almost surely, 2^{2002111112081} is an apocalyptic number.

It is an amenable number.

2002111112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111112081 is an equidigital number, since it uses as much as digits as its factorization.

2002111112081 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 2002111112081 its reverse (1802111112002), we get a palindrome (3804222224083).

The spelling of 2002111112081 in words is "two trillion, two billion, one hundred eleven million, one hundred twelve thousand, eighty-one".