2002100102033 has 2 divisors, whose sum is σ = 2002100102034. Its totient is φ = 2002100102032.

The previous prime is 2002100101957. The next prime is 2002100102071. The reversal of 2002100102033 is 3302010012002.

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., 2001070526464 + 1029575569 = 1414592^2 + 32087^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002100102033 - 2²⁰ = 2002099053457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002100101999 and 2002100102017.

It is not a weakly prime, because it can be changed into another prime (2002100102083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001050051016 + 1001050051017.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050051017).

Almost surely, 2^{2002100102033} is an apocalyptic number.

It is an amenable number.

2002100102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002100102033 is an equidigital number, since it uses as much as digits as its factorization.

2002100102033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2002100102033 its reverse (3302010012002), we get a palindrome (5304110114035).

The spelling of 2002100102033 in words is "two trillion, two billion, one hundred million, one hundred two thousand, thirty-three".