100101001320 has 96 divisors (see below), whose sum is σ = 325371501000. Its totient is φ = 26690052096.

The previous prime is 100101001277. The next prime is 100101001361. The reversal of 100101001320 is 23100101001.

It can be written as a sum of positive squares in 4 ways, for example, as 22189677444 + 77911323876 = 148962^2 + 279126^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3771456 + ... + 3797904.

Almost surely, 2^100101001320 is an apocalyptic number.

100101001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101001320 is an abundant number, since it is smaller than the sum of its proper divisors (225270499680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101001320 is a wasteful number, since it uses less digits than its factorization.

100101001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36979 (or 36972 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100101001320 its reverse (23100101001), we get a palindrome (123201102321).

The spelling of 100101001320 in words is "one hundred billion, one hundred one million, one thousand, three hundred twenty".