100122211001 has 8 divisors (see below), whose sum is σ = 101557419144. Its totient is φ = 98688723840.

The previous prime is 100122210989. The next prime is 100122211031. The reversal of 100122211001 is 100112221001.

It can be written as a sum of positive squares in 4 ways, for example, as 20879961001 + 79242250000 = 144499^2 + 281500^2 .

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 100122211001 - 2¹⁰ = 100122209977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122211031) 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, 312830 + ... + 545991.

It is an arithmetic number, because the mean of its divisors is an integer number (12694677393).

Almost surely, 2^100122211001 is an apocalyptic number.

It is an amenable number.

100122211001 is a deficient number, since it is larger than the sum of its proper divisors (1435208143).

100122211001 is an equidigital number, since it uses as much as digits as its factorization.

100122211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860491.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122211001 its reverse (100112221001), we get a palindrome (200234432002).

The spelling of 100122211001 in words is "one hundred billion, one hundred twenty-two million, two hundred eleven thousand, one".