101112000010121 has 8 divisors (see below), whose sum is σ = 107086651612320. Its totient is φ = 95202645147072.

The previous prime is 101112000010079. The next prime is 101112000010163. The reversal of 101112000010121 is 121010000211101.

It is an interprime number because it is at equal distance from previous prime (101112000010079) and next prime (101112000010163).

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 101112000010121 - 2¹⁸ = 101111999747977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112000010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16324181600 + ... + 16324187793.

It is an arithmetic number, because the mean of its divisors is an integer number (13385831451540).

Almost surely, 2^{101112000010121} is an apocalyptic number.

It is an amenable number.

101112000010121 is a deficient number, since it is larger than the sum of its proper divisors (5974651602199).

101112000010121 is a wasteful number, since it uses less digits than its factorization.

101112000010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32648369575.

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

Adding to 101112000010121 its reverse (121010000211101), we get a palindrome (222122000221222).

The spelling of 101112000010121 in words is "one hundred one trillion, one hundred twelve billion, ten thousand, one hundred twenty-one".