100001101002121 has 4 divisors (see below), whose sum is σ = 109092110184144. Its totient is φ = 90910091820100.

The previous prime is 100001101002029. The next prime is 100001101002241. The reversal of 100001101002121 is 121200101100001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001101002121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001101002098 and 100001101002107.

It is not an unprimeable number, because it can be changed into a prime (100001101102121) 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 3 ways as a sum of consecutive naturals, for example, 4545504590995 + ... + 4545504591016.

It is an arithmetic number, because the mean of its divisors is an integer number (27273027546036).

Almost surely, 2^{100001101002121} is an apocalyptic number.

100001101002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001101002121 is a deficient number, since it is larger than the sum of its proper divisors (9091009182023).

100001101002121 is an equidigital number, since it uses as much as digits as its factorization.

100001101002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091009182022.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001101002121 its reverse (121200101100001), we get a palindrome (221201202102122).

The spelling of 100001101002121 in words is "one hundred trillion, one billion, one hundred one million, two thousand, one hundred twenty-one".