102123133101 has 24 divisors (see below), whose sum is σ = 166881353184. Its totient is φ = 61892806320.

The previous prime is 102123133033. The next prime is 102123133139. The reversal of 102123133101 is 101331321201.

102123133101 is a `hidden beast` number, since 102 + 1 + 231 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 102123133101 - 2⁷ = 102123132973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123133141) 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, 19100046 + ... + 19105391.

It is an arithmetic number, because the mean of its divisors is an integer number (6953389716).

Almost surely, 2^102123133101 is an apocalyptic number.

102123133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102123133101 is a deficient number, since it is larger than the sum of its proper divisors (64758220083).

102123133101 is an equidigital number, since it uses as much as digits as its factorization.

102123133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38205463 (or 38205451 counting only the distinct ones).

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

Adding to 102123133101 its reverse (101331321201), we get a palindrome (203454454302).

The spelling of 102123133101 in words is "one hundred two billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred one".