1000102133 has 2 divisors, whose sum is σ = 1000102134. Its totient is φ = 1000102132.

The previous prime is 1000102121. The next prime is 1000102157. The reversal of 1000102133 is 3312010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 658332964 + 341769169 = 25658^2 + 18487^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102133 - 2⁸ = 1000101877 is a prime.

It is a super-2 number, since 2×1000102133² = 2000408552862299378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000101133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051066 + 500051067.

It is an arithmetic number, because the mean of its divisors is an integer number (500051067).

Almost surely, 2^1000102133 is an apocalyptic number.

It is an amenable number.

1000102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102133 is an equidigital number, since it uses as much as digits as its factorization.

1000102133 is an evil number, because the sum of its binary digits is even.

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

The square root of 1000102133 is about 31624.3914249745. The cubic root of 1000102133 is about 1000.0340431744.

Adding to 1000102133 its reverse (3312010001), we get a palindrome (4312112134).

The spelling of 1000102133 in words is "one billion, one hundred two thousand, one hundred thirty-three".