100111011000121 has 8 divisors (see below), whose sum is σ = 109339150557600. Its totient is φ = 90904061202240.

The previous prime is 100111011000083. The next prime is 100111011000137. The reversal of 100111011000121 is 121000110111001.

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

It is not a de Polignac number, because 100111011000121 - 2¹¹ = 100111010998073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111011000098 and 100111011000107.

It is not an unprimeable number, because it can be changed into a prime (100111011000181) 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, 5297430016 + ... + 5297448913.

It is an arithmetic number, because the mean of its divisors is an integer number (13667393819700).

Almost surely, 2^{100111011000121} is an apocalyptic number.

100111011000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111011000121 is a deficient number, since it is larger than the sum of its proper divisors (9228139557479).

100111011000121 is a wasteful number, since it uses less digits than its factorization.

100111011000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594879799.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111011000121 its reverse (121000110111001), we get a palindrome (221111121111122).

The spelling of 100111011000121 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred twenty-one", and thus it is an aban number.