100112201001 has 12 divisors (see below), whose sum is σ = 144674976628. Its totient is φ = 66709868544.

The previous prime is 100112200997. The next prime is 100112201087. The reversal of 100112201001 is 100102211001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27406471401 + 72705729600 = 165549^2 + 269640^2 .

It is not a de Polignac number, because 100112201001 - 2² = 100112200997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112201801) 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, 2613160 + ... + 2651193.

Almost surely, 2^100112201001 is an apocalyptic number.

It is an amenable number.

100112201001 is a deficient number, since it is larger than the sum of its proper divisors (44562775627).

100112201001 is a wasteful number, since it uses less digits than its factorization.

100112201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266472 (or 5266469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100112201001 its reverse (100102211001), we get a palindrome (200214412002).

The spelling of 100112201001 in words is "one hundred billion, one hundred twelve million, two hundred one thousand, one".