132100022101001 has 16 divisors (see below), whose sum is σ = 144700724600208. Its totient is φ = 120096046848000.

The previous prime is 132100022100997. The next prime is 132100022101087. The reversal of 132100022101001 is 100101220001231.

It can be written as a sum of positive squares in 8 ways, for example, as 24331539155401 + 107768482945600 = 4932701^2 + 10381160^2 .

It is not a de Polignac number, because 132100022101001 - 2² = 132100022100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132190022101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938179970 + ... + 938320763.

It is an arithmetic number, because the mean of its divisors is an integer number (9043795287513).

Almost surely, 2^{132100022101001} is an apocalyptic number.

It is an amenable number.

132100022101001 is a deficient number, since it is larger than the sum of its proper divisors (12600702499207).

132100022101001 is a wasteful number, since it uses less digits than its factorization.

132100022101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876500892.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 132100022101001 its reverse (100101220001231), we get a palindrome (232201242102232).

The spelling of 132100022101001 in words is "one hundred thirty-two trillion, one hundred billion, twenty-two million, one hundred one thousand, one".