100123211001 has 32 divisors (see below), whose sum is σ = 153796672512. Its totient is φ = 57343098560.

The previous prime is 100123210997. The next prime is 100123211039. The reversal of 100123211001 is 100112321001.

It is not a de Polignac number, because 100123211001 - 2² = 100123210997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100123215001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731670 + ... + 857663.

It is an arithmetic number, because the mean of its divisors is an integer number (4806146016).

Almost surely, 2^100123211001 is an apocalyptic number.

100123211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100123211001 is a deficient number, since it is larger than the sum of its proper divisors (53673461511).

100123211001 is a wasteful number, since it uses less digits than its factorization.

100123211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589453.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100123211001 its reverse (100112321001), we get a palindrome (200235532002).

Subtracting from 100123211001 its reverse (100112321001), we obtain a square (10890000 = 3300²).

The spelling of 100123211001 in words is "one hundred billion, one hundred twenty-three million, two hundred eleven thousand, one".