10112201120101 has 4 divisors (see below), whose sum is σ = 10112275967500. Its totient is φ = 10112126272704.

The previous prime is 10112201120083. The next prime is 10112201120107. The reversal of 10112201120101 is 10102110221101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4894293413025 + 5217907707076 = 2212305^2 + 2284274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112201120101 - 2¹⁵ = 10112201087333 is a prime.

It is a super-2 number, since 2×10112201120101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112201120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37220676 + ... + 37491373.

It is an arithmetic number, because the mean of its divisors is an integer number (2528068991875).

Almost surely, 2^{10112201120101} is an apocalyptic number.

It is an amenable number.

10112201120101 is a deficient number, since it is larger than the sum of its proper divisors (74847399).

10112201120101 is an equidigital number, since it uses as much as digits as its factorization.

10112201120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74847398.

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

Adding to 10112201120101 its reverse (10102110221101), we get a palindrome (20214311341202).

The spelling of 10112201120101 in words is "ten trillion, one hundred twelve billion, two hundred one million, one hundred twenty thousand, one hundred one".