10012112121101 has 32 divisors (see below), whose sum is σ = 10351514546688. Its totient is φ = 9680430735360.

The previous prime is 10012112121091. The next prime is 10012112121107. The reversal of 10012112121101 is 10112121121001.

It is a cyclic number.

It is not a de Polignac number, because 10012112121101 - 2¹⁴ = 10012112104717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449143766 + ... + 449166056.

It is an arithmetic number, because the mean of its divisors is an integer number (323484829584).

Almost surely, 2^{10012112121101} is an apocalyptic number.

It is an amenable number.

10012112121101 is a deficient number, since it is larger than the sum of its proper divisors (339402425587).

10012112121101 is a wasteful number, since it uses less digits than its factorization.

10012112121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23061.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10012112121101 its reverse (10112121121001), we get a palindrome (20124233242102).

The spelling of 10012112121101 in words is "ten trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".