100100122011121 has 8 divisors (see below), whose sum is σ = 100189928220480. Its totient is φ = 100010328807792.

The previous prime is 100100122011083. The next prime is 100100122011137. The reversal of 100100122011121 is 121110221001001.

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 a de Polignac number, because none of the positive numbers 2^k-100100122011121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100122011151) 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, 12181110 + ... + 18670288.

It is an arithmetic number, because the mean of its divisors is an integer number (12523741027560).

Almost surely, 2^{100100122011121} is an apocalyptic number.

It is an amenable number.

100100122011121 is a deficient number, since it is larger than the sum of its proper divisors (89806209359).

100100122011121 is a wasteful number, since it uses less digits than its factorization.

100100122011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503015.

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

Adding to 100100122011121 its reverse (121110221001001), we get a palindrome (221210343012122).

It can be divided in two parts, 100100 and 122011121, that added together give a palindrome (122111221).

The spelling of 100100122011121 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".