100112211101 has 12 divisors (see below), whose sum is σ = 116464989852. Its totient is φ = 85804625088.

The previous prime is 100112211049. The next prime is 100112211103. The reversal of 100112211101 is 101112211001.

It can be written as a sum of positive squares in 2 ways, for example, as 21829767001 + 78282444100 = 147749^2 + 279790^2 .

It is not a de Polignac number, because 100112211101 - 2¹⁸ = 100111948957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112211103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756761 + ... + 879153.

It is an arithmetic number, because the mean of its divisors is an integer number (9705415821).

Almost surely, 2^100112211101 is an apocalyptic number.

It is an amenable number.

100112211101 is a deficient number, since it is larger than the sum of its proper divisors (16352778751).

100112211101 is a wasteful number, since it uses less digits than its factorization.

100112211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139100 (or 139093 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112211101 its reverse (101112211001), we get a palindrome (201224422102).

The spelling of 100112211101 in words is "one hundred billion, one hundred twelve million, two hundred eleven thousand, one hundred one".