100032121212101 has 8 divisors (see below), whose sum is σ = 107728582241280. Its totient is φ = 92335900536432.

The previous prime is 100032121212041. The next prime is 100032121212143. The reversal of 100032121212101 is 101212121230001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100032121212101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100032121212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032121212601) 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 7 ways as a sum of consecutive naturals, for example, 59223521 + ... + 60889158.

It is an arithmetic number, because the mean of its divisors is an integer number (13466072780160).

Almost surely, 2^{100032121212101} is an apocalyptic number.

It is an amenable number.

100032121212101 is a deficient number, since it is larger than the sum of its proper divisors (7696461029179).

100032121212101 is a wasteful number, since it uses less digits than its factorization.

100032121212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120176755.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100032121212101 its reverse (101212121230001), we get a palindrome (201244242442102).

The spelling of 100032121212101 in words is "one hundred trillion, thirty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".