1000000102133 has 2 divisors, whose sum is σ = 1000000102134. Its totient is φ = 1000000102132.

The previous prime is 1000000102111. The next prime is 1000000102159. The reversal of 1000000102133 is 3312010000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 854215880644 + 145784221489 = 924238^2 + 381817^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000000102133 - 2²² = 999995907829 is a prime.

It is a super-2 number, since 2×1000000102133² (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 (1000000102333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000051066 + 500000051067.

It is an arithmetic number, because the mean of its divisors is an integer number (500000051067).

Almost surely, 2^{1000000102133} is an apocalyptic number.

It is an amenable number.

1000000102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000000102133 is an equidigital number, since it uses as much as digits as its factorization.

1000000102133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1000000102133 its reverse (3312010000001), we get a palindrome (4312010102134).

The spelling of 1000000102133 in words is "one trillion, one hundred two thousand, one hundred thirty-three".