10100132101 has 8 divisors (see below), whose sum is σ = 10160989920. Its totient is φ = 10039323888.

The previous prime is 10100132087. The next prime is 10100132171. The reversal of 10100132101 is 10123100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100132101 - 2⁷ = 10100131973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100132171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446670 + ... + 468736.

It is an arithmetic number, because the mean of its divisors is an integer number (1270123740).

Almost surely, 2^10100132101 is an apocalyptic number.

It is an amenable number.

10100132101 is a deficient number, since it is larger than the sum of its proper divisors (60857819).

10100132101 is a wasteful number, since it uses less digits than its factorization.

10100132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24803.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100132101 its reverse (10123100101), we get a palindrome (20223232202).

The spelling of 10100132101 in words is "ten billion, one hundred million, one hundred thirty-two thousand, one hundred one".