100111122201101 has 8 divisors (see below), whose sum is σ = 109212222324864. Its totient is φ = 91010036913120.

The previous prime is 100111122201017. The next prime is 100111122201119. The reversal of 100111122201101 is 101102221111001.

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-100111122201101 is a prime.

It is a super-3 number, since 3×100111122201101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111122201151) 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, 14131505 + ... + 19998041.

It is an arithmetic number, because the mean of its divisors is an integer number (13651527790608).

Almost surely, 2^{100111122201101} is an apocalyptic number.

100111122201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111122201101 is a deficient number, since it is larger than the sum of its proper divisors (9101100123763).

100111122201101 is a wasteful number, since it uses less digits than its factorization.

100111122201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417891.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111122201101 its reverse (101102221111001), we get a palindrome (201213343312102).

The spelling of 100111122201101 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, two hundred one thousand, one hundred one".