100101000100121 has 8 divisors (see below), whose sum is σ = 100545198445440. Its totient is φ = 99656830042768.

The previous prime is 100101000100117. The next prime is 100101000100159. The reversal of 100101000100121 is 121001000101001.

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 100101000100121 - 2² = 100101000100117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101000100099 and 100101000100108.

It is not an unprimeable number, because it can be changed into a prime (100101000102121) 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, 36815 + ... + 14149323.

It is an arithmetic number, because the mean of its divisors is an integer number (12568149805680).

Almost surely, 2^{100101000100121} is an apocalyptic number.

It is an amenable number.

100101000100121 is a deficient number, since it is larger than the sum of its proper divisors (444198345319).

100101000100121 is a wasteful number, since it uses less digits than its factorization.

100101000100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14143983.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101000100121 its reverse (121001000101001), we get a palindrome (221102000201122).

The spelling of 100101000100121 in words is "one hundred trillion, one hundred one billion, one hundred thousand, one hundred twenty-one".