102003021133011 has 64 divisors (see below), whose sum is σ = 152656192512000. Its totient is φ = 67310411857920.

The previous prime is 102003021132953. The next prime is 102003021133021. The reversal of 102003021133011 is 110331120300201.

102003021133011 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 302 + 1 + 1 + 330 + 11 = 666.

It is not a de Polignac number, because 102003021133011 - 2²¹ = 102003019035859 is a prime.

It is a super-2 number, since 2×102003021133011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102003021133021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7871204350 + ... + 7871217308.

It is an arithmetic number, because the mean of its divisors is an integer number (2385253008000).

Almost surely, 2^{102003021133011} is an apocalyptic number.

102003021133011 is a deficient number, since it is larger than the sum of its proper divisors (50653171378989).

102003021133011 is a wasteful number, since it uses less digits than its factorization.

102003021133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321 (or 16315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102003021133011 its reverse (110331120300201), we get a palindrome (212334141433212).

The spelling of 102003021133011 in words is "one hundred two trillion, three billion, twenty-one million, one hundred thirty-three thousand, eleven".