100011101002121 has 8 divisors (see below), whose sum is σ = 100144918622784. Its totient is φ = 99877313231280.

The previous prime is 100011101002093. The next prime is 100011101002123. The reversal of 100011101002121 is 121200101110001.

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-100011101002121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011101002123) 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, 752990 + ... + 14162951.

It is an arithmetic number, because the mean of its divisors is an integer number (12518114827848).

Almost surely, 2^{100011101002121} is an apocalyptic number.

It is an amenable number.

100011101002121 is a deficient number, since it is larger than the sum of its proper divisors (133817620663).

100011101002121 is an equidigital number, since it uses as much as digits as its factorization.

100011101002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924911.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100011101002121 its reverse (121200101110001), we get a palindrome (221211202112122).

The spelling of 100011101002121 in words is "one hundred trillion, eleven billion, one hundred one million, two thousand, one hundred twenty-one".