100113001111211 has 8 divisors (see below), whose sum is σ = 109214373900864. Its totient is φ = 91011660133320.

The previous prime is 100113001111177. The next prime is 100113001111213. The reversal of 100113001111211 is 112111100311001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113001111211 is a prime.

It is a super-2 number, since 2×100113001111211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113001111213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117301 + ... + 14194166.

It is an arithmetic number, because the mean of its divisors is an integer number (13651796737608).

Almost surely, 2^{100113001111211} is an apocalyptic number.

100113001111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100113001111211 is a deficient number, since it is larger than the sum of its proper divisors (9101372789653).

100113001111211 is a wasteful number, since it uses less digits than its factorization.

100113001111211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905881.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100113001111211 its reverse (112111100311001), we get a palindrome (212224101422212).

The spelling of 100113001111211 in words is "one hundred trillion, one hundred thirteen billion, one million, one hundred eleven thousand, two hundred eleven".