100213123001 has 8 divisors (see below), whose sum is σ = 101196349920. Its totient is φ = 99230760288.

The previous prime is 100213122991. The next prime is 100213123069. The reversal of 100213123001 is 100321312001.

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 100213123001 - 2¹⁰ = 100213121977 is a prime.

It is a super-2 number, since 2×100213123001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213122001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18245 + ... + 448061.

It is an arithmetic number, because the mean of its divisors is an integer number (12649543740).

Almost surely, 2^100213123001 is an apocalyptic number.

It is an amenable number.

100213123001 is a deficient number, since it is larger than the sum of its proper divisors (983226919).

100213123001 is a wasteful number, since it uses less digits than its factorization.

100213123001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432103.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100213123001 its reverse (100321312001), we get a palindrome (200534435002).

The spelling of 100213123001 in words is "one hundred billion, two hundred thirteen million, one hundred twenty-three thousand, one".