10112011122101 has 64 divisors (see below), whose sum is σ = 12446345640960. Its totient is φ = 8018893209600.

The previous prime is 10112011122043. The next prime is 10112011122137. The reversal of 10112011122101 is 10122111021101.

10112011122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10112011122101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112011122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025235061 + ... + 2025240053.

It is an arithmetic number, because the mean of its divisors is an integer number (194474150640).

Almost surely, 2^{10112011122101} is an apocalyptic number.

It is an amenable number.

10112011122101 is a deficient number, since it is larger than the sum of its proper divisors (2334334518859).

10112011122101 is a wasteful number, since it uses less digits than its factorization.

10112011122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294.

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

Adding to 10112011122101 its reverse (10122111021101), we get a palindrome (20234122143202).

The spelling of 10112011122101 in words is "ten trillion, one hundred twelve billion, eleven million, one hundred twenty-two thousand, one hundred one".