101011012112 has 20 divisors (see below), whose sum is σ = 195721291116. Its totient is φ = 50502291840.

The previous prime is 101011012111. The next prime is 101011012147. The reversal of 101011012112 is 211210110101.

It can be written as a sum of positive squares in 2 ways, for example, as 9526540816 + 91484471296 = 97604^2 + 302464^2 .

It is a super-3 number, since 3×101011012112³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101011012093 and 101011012102.

It is not an unprimeable number, because it can be changed into a prime (101011012111) 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 3 ways as a sum of consecutive naturals, for example, 69398 + ... + 454794.

Almost surely, 2^101011012112 is an apocalyptic number.

It is an amenable number.

101011012112 is a deficient number, since it is larger than the sum of its proper divisors (94710279004).

101011012112 is a wasteful number, since it uses less digits than its factorization.

101011012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401786 (or 401780 counting only the distinct ones).

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

Adding to 101011012112 its reverse (211210110101), we get a palindrome (312221122213).

The spelling of 101011012112 in words is "one hundred one billion, eleven million, twelve thousand, one hundred twelve".