100122101200111 has 8 divisors (see below), whose sum is σ = 100802830323600. Its totient is φ = 99441488993088.

The previous prime is 100122101200049. The next prime is 100122101200117. The reversal of 100122101200111 is 111002101221001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100122101200111 - 2⁷ = 100122101199983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122101200091 and 100122101200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122101200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27510241 + ... + 30936346.

It is an arithmetic number, because the mean of its divisors is an integer number (12600353790450).

Almost surely, 2^{100122101200111} is an apocalyptic number.

100122101200111 is a deficient number, since it is larger than the sum of its proper divisors (680729123489).

100122101200111 is a wasteful number, since it uses less digits than its factorization.

100122101200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58458233.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100122101200111 its reverse (111002101221001), we get a palindrome (211124202421112).

The spelling of 100122101200111 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, one hundred eleven".