2002111993829 has 2 divisors, whose sum is σ = 2002111993830. Its totient is φ = 2002111993828.

The previous prime is 2002111993789. The next prime is 2002111993831. The reversal of 2002111993829 is 9283991112002.

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., 2001842968225 + 269025604 = 1414865^2 + 16402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002111993829 is a prime.

Together with 2002111993831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002111993859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055996914 + 1001055996915.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055996915).

Almost surely, 2^{2002111993829} is an apocalyptic number.

It is an amenable number.

2002111993829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111993829 is an equidigital number, since it uses as much as digits as its factorization.

2002111993829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 47.

The spelling of 2002111993829 in words is "two trillion, two billion, one hundred eleven million, nine hundred ninety-three thousand, eight hundred twenty-nine".