2002112012261 has 2 divisors, whose sum is σ = 2002112012262. Its totient is φ = 2002112012260.

The previous prime is 2002112012239. The next prime is 2002112012267. The reversal of 2002112012261 is 1622102112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1652559099361 + 349552912900 = 1285519^2 + 591230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002112012261 is a prime.

It is a super-2 number, since 2×2002112012261² (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 (2002112012267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056006130 + 1001056006131.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056006131).

Almost surely, 2^{2002112012261} is an apocalyptic number.

It is an amenable number.

2002112012261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112012261 is an equidigital number, since it uses as much as digits as its factorization.

2002112012261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2002112012261 its reverse (1622102112002), we get a palindrome (3624214124263).

The spelling of 2002112012261 in words is "two trillion, two billion, one hundred twelve million, twelve thousand, two hundred sixty-one".