102033144001 has 8 divisors (see below), whose sum is σ = 102949528104. Its totient is φ = 101116995840.

The previous prime is 102033143983. The next prime is 102033144007. The reversal of 102033144001 is 100441330201.

It can be written as a sum of positive squares in 4 ways, for example, as 4188678400 + 97844465601 = 64720^2 + 312801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102033144001 - 2¹⁵ = 102033111233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102033144001.

It is not an unprimeable number, because it can be changed into a prime (102033144007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875971 + ... + 985591.

It is an arithmetic number, because the mean of its divisors is an integer number (12868691013).

Almost surely, 2^102033144001 is an apocalyptic number.

It is an amenable number.

102033144001 is a deficient number, since it is larger than the sum of its proper divisors (916384103).

102033144001 is a wasteful number, since it uses less digits than its factorization.

102033144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117971.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102033144001 its reverse (100441330201), we get a palindrome (202474474202).

The spelling of 102033144001 in words is "one hundred two billion, thirty-three million, one hundred forty-four thousand, one".