100012111110121 has 8 divisors (see below), whose sum is σ = 114299658600320. Its totient is φ = 85724589381408.

The previous prime is 100012111110101. The next prime is 100012111110137. The reversal of 100012111110121 is 121011111210001.

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 100012111110121 - 2¹¹ = 100012111108073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012111110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2753725 + ... + 14408581.

It is an arithmetic number, because the mean of its divisors is an integer number (14287457325040).

Almost surely, 2^{100012111110121} is an apocalyptic number.

It is an amenable number.

100012111110121 is a deficient number, since it is larger than the sum of its proper divisors (14287547490199).

100012111110121 is a wasteful number, since it uses less digits than its factorization.

100012111110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880743.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100012111110121 its reverse (121011111210001), we get a palindrome (221023222320122).

It can be divided in two parts, 1000 and 12111110121, that added together give a palindrome (12111111121).

The spelling of 100012111110121 in words is "one hundred trillion, twelve billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-one".