10112201010101 has 8 divisors (see below), whose sum is σ = 10118245586904. Its totient is φ = 10106157093120.

The previous prime is 10112201010089. The next prime is 10112201010137. The reversal of 10112201010101 is 10101010221101.

10112201010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1120689007876 + 8991512002225 = 1058626^2 + 2998585^2 .

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 10112201010101 - 2²⁶ = 10112133901237 is a prime.

It is a super-3 number, since 3×10112201010101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

10112201010101 is a modest number, since divided by 1010101 gives 101122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112201010161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32406641 + ... + 32717193.

It is an arithmetic number, because the mean of its divisors is an integer number (1264780698363).

Almost surely, 2^{10112201010101} is an apocalyptic number.

It is an amenable number.

10112201010101 is a deficient number, since it is larger than the sum of its proper divisors (6044576803).

10112201010101 is a wasteful number, since it uses less digits than its factorization.

10112201010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329911.

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

Adding to 10112201010101 its reverse (10101010221101), we get a palindrome (20213211231202).

The spelling of 10112201010101 in words is "ten trillion, one hundred twelve billion, two hundred one million, ten thousand, one hundred one".