10112100212101 has 8 divisors (see below), whose sum is σ = 10135091464704. Its totient is φ = 10089113921040.

The previous prime is 10112100212033. The next prime is 10112100212177. The reversal of 10112100212101 is 10121200121101.

It is a happy number.

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 10112100212101 - 2¹⁷ = 10112100081029 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 (10112100252101) 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 7 ways as a sum of consecutive naturals, for example, 2855796 + ... + 5327266.

It is an arithmetic number, because the mean of its divisors is an integer number (1266886433088).

Almost surely, 2^{10112100212101} is an apocalyptic number.

It is an amenable number.

10112100212101 is a deficient number, since it is larger than the sum of its proper divisors (22991252603).

10112100212101 is an equidigital number, since it uses as much as digits as its factorization.

10112100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480771.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10112100212101 its reverse (10121200121101), we get a palindrome (20233300333202).

The spelling of 10112100212101 in words is "ten trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, one hundred one".