100112211200121 has 8 divisors (see below), whose sum is σ = 133483717487424. Its totient is φ = 66741089523120.

The previous prime is 100112211200083. The next prime is 100112211200213. The reversal of 100112211200121 is 121002112211001.

It is a happy number.

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

It is not a de Polignac number, because 100112211200121 - 2¹⁰ = 100112211199097 is a prime.

It is a super-2 number, since 2×100112211200121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100112211200121.

It is not an unprimeable number, because it can be changed into a prime (100112211900121) 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, 95544670 + ... + 96586791.

It is an arithmetic number, because the mean of its divisors is an integer number (16685464685928).

Almost surely, 2^{100112211200121} is an apocalyptic number.

It is an amenable number.

100112211200121 is a deficient number, since it is larger than the sum of its proper divisors (33371506287303).

100112211200121 is a wasteful number, since it uses less digits than its factorization.

100112211200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192305151.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112211200121 its reverse (121002112211001), we get a palindrome (221114323411122).

The spelling of 100112211200121 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, two hundred thousand, one hundred twenty-one".