10012112112201 has 32 divisors (see below), whose sum is σ = 13481157888000. Its totient is φ = 6609247614528.

The previous prime is 10012112112143. The next prime is 10012112112217. The reversal of 10012112112201 is 10221121121001.

It is a happy number.

It is not a de Polignac number, because 10012112112201 - 2⁶ = 10012112112137 is a prime.

It is a super-2 number, since 2×10012112112201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012112112271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285854976 + ... + 285889998.

It is an arithmetic number, because the mean of its divisors is an integer number (421286184000).

Almost surely, 2^{10012112112201} is an apocalyptic number.

It is an amenable number.

10012112112201 is a deficient number, since it is larger than the sum of its proper divisors (3469045775799).

10012112112201 is a wasteful number, since it uses less digits than its factorization.

10012112112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37453.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10012112112201 its reverse (10221121121001), we get a palindrome (20233233233202).

The spelling of 10012112112201 in words is "ten trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred one".