100112210001001 has 16 divisors (see below), whose sum is σ = 109329927033600. Its totient is φ = 90913952683600.

The previous prime is 100112210000993. The next prime is 100112210001031. The reversal of 100112210001001 is 100100012211001.

It is a cyclic number.

It is not a de Polignac number, because 100112210001001 - 2³ = 100112210000993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112210001031) 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, 79288290 + ... + 80541028.

It is an arithmetic number, because the mean of its divisors is an integer number (6833120439600).

Almost surely, 2^{100112210001001} is an apocalyptic number.

100112210001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112210001001 is a deficient number, since it is larger than the sum of its proper divisors (9217717032599).

100112210001001 is a wasteful number, since it uses less digits than its factorization.

100112210001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260500.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112210001001 its reverse (100100012211001), we get a palindrome (200212222212002).

The spelling of 100112210001001 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, one thousand, one".