100113212001 has 16 divisors (see below), whose sum is σ = 145674986688. Its totient is φ = 60651436800.

The previous prime is 100113211963. The next prime is 100113212011. The reversal of 100113212001 is 100212311001.

It is not a de Polignac number, because 100113212001 - 2⁷ = 100113211873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100113212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493260 + ... + 665981.

It is an arithmetic number, because the mean of its divisors is an integer number (9104686668).

Almost surely, 2^100113212001 is an apocalyptic number.

100113212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100113212001 is a deficient number, since it is larger than the sum of its proper divisors (45561774687).

100113212001 is a wasteful number, since it uses less digits than its factorization.

100113212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161872.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100113212001 its reverse (100212311001), we get a palindrome (200325523002).

The spelling of 100113212001 in words is "one hundred billion, one hundred thirteen million, two hundred twelve thousand, one".