100111211112201 has 8 divisors (see below), whose sum is σ = 133482291438624. Its totient is φ = 66740469096960.

The previous prime is 100111211112197. The next prime is 100111211112217. The reversal of 100111211112201 is 102211112111001.

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

It is not a de Polignac number, because 100111211112201 - 2² = 100111211112197 is a prime.

It is a super-2 number, since 2×100111211112201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111211111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83886520 + ... + 85071561.

It is an arithmetic number, because the mean of its divisors is an integer number (16685286429828).

Almost surely, 2^{100111211112201} is an apocalyptic number.

It is an amenable number.

100111211112201 is a deficient number, since it is larger than the sum of its proper divisors (33371080326423).

100111211112201 is a wasteful number, since it uses less digits than its factorization.

100111211112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169155591.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100111211112201 its reverse (102211112111001), we get a palindrome (202322323223202).

The spelling of 100111211112201 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, one hundred twelve thousand, two hundred one".