102321133101 has 24 divisors (see below), whose sum is σ = 164275446816. Its totient is φ = 60842751840.

The previous prime is 102321133099. The next prime is 102321133127. The reversal of 102321133101 is 101331123201.

102321133101 is a `hidden beast` number, since 10 + 2 + 321 + 1 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 102321133101 - 2¹ = 102321133099 is a prime.

It is a super-2 number, since 2×102321133101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321133601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9745195 + ... + 9755688.

It is an arithmetic number, because the mean of its divisors is an integer number (6844810284).

Almost surely, 2^102321133101 is an apocalyptic number.

102321133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102321133101 is a deficient number, since it is larger than the sum of its proper divisors (61954313715).

102321133101 is a wasteful number, since it uses less digits than its factorization.

102321133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19500953 (or 19500950 counting only the distinct ones).

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

Adding to 102321133101 its reverse (101331123201), we get a palindrome (203652256302).

The spelling of 102321133101 in words is "one hundred two billion, three hundred twenty-one million, one hundred thirty-three thousand, one hundred one".