102001133 has 6 divisors (see below), whose sum is σ = 110451114. Its totient is φ = 94154736.

The previous prime is 102001127. The next prime is 102001157. The reversal of 102001133 is 331100201.

It can be written as a sum of positive squares in 3 ways, for example, as 4919524 + 97081609 = 2218^2 + 9853^2 .

It is not a de Polignac number, because 102001133 - 2⁶ = 102001069 is a prime.

It is a super-2 number, since 2×102001133² = 20808462266567378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301610 + ... + 301947.

It is an arithmetic number, because the mean of its divisors is an integer number (18408519).

Almost surely, 2^102001133 is an apocalyptic number.

102001133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102001133 is a deficient number, since it is larger than the sum of its proper divisors (8449981).

102001133 is an equidigital number, since it uses as much as digits as its factorization.

102001133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603583 (or 603570 counting only the distinct ones).

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

The square root of 102001133 is about 10099.5610300646. The cubic root of 102001133 is about 467.2346028123.

Adding to 102001133 its reverse (331100201), we get a palindrome (433101334).

The spelling of 102001133 in words is "one hundred two million, one thousand, one hundred thirty-three".