100011220072 has 16 divisors (see below), whose sum is σ = 188198013060. Its totient is φ = 49825083264.

The previous prime is 100011220051. The next prime is 100011220073. The reversal of 100011220072 is 270022110001.

100011220072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 88371831076 + 11639388996 = 297274^2 + 107886^2 .

It is not an unprimeable number, because it can be changed into a prime (100011220073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22563493 + ... + 22567924.

Almost surely, 2^100011220072 is an apocalyptic number.

It is an amenable number.

100011220072 is a deficient number, since it is larger than the sum of its proper divisors (88186792988).

100011220072 is a wasteful number, since it uses less digits than its factorization.

100011220072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45131700 (or 45131696 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 100011220072 its reverse (270022110001), we get a palindrome (370033330073).

The spelling of 100011220072 in words is "one hundred billion, eleven million, two hundred twenty thousand, seventy-two".