132121131100101 has 216 divisors, whose sum is σ = 234890431776000. Its totient is φ = 71402134003200.

The previous prime is 132121131100081. The next prime is 132121131100121. The reversal of 132121131100101 is 101001131121231.

132121131100101 is a `hidden beast` number, since 1 + 321 + 21 + 1 + 311 + 0 + 0 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (132121131100081) and next prime (132121131100121).

It is not a de Polignac number, because 132121131100101 - 2⁵ = 132121131100069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121131100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3246278850 + ... + 3246319548.

Almost surely, 2^{132121131100101} is an apocalyptic number.

132121131100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132121131100101 is a deficient number, since it is larger than the sum of its proper divisors (102769300675899).

132121131100101 is a wasteful number, since it uses less digits than its factorization.

132121131100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41353 (or 41326 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 132121131100101 its reverse (101001131121231), we get a palindrome (233122262221332).

The spelling of 132121131100101 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred thousand, one hundred one".