10112112101 has 16 divisors (see below), whose sum is σ = 12603225600. Its totient is φ = 7899510528.

The previous prime is 10112112097. The next prime is 10112112107. The reversal of 10112112101 is 10121121101.

It is not a de Polignac number, because 10112112101 - 2² = 10112112097 is a prime.

It is a super-2 number, since 2×10112112101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696116 + ... + 710493.

It is an arithmetic number, because the mean of its divisors is an integer number (787701600).

Almost surely, 2^10112112101 is an apocalyptic number.

It is an amenable number.

10112112101 is a deficient number, since it is larger than the sum of its proper divisors (2491113499).

10112112101 is a wasteful number, since it uses less digits than its factorization.

10112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406708.

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

Adding to 10112112101 its reverse (10121121101), we get a palindrome (20233233202).

It can be divided in two parts, 1011 and 2112101, that added together give a palindrome (2113112).

The spelling of 10112112101 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, one hundred one".