101121110012 has 72 divisors (see below), whose sum is σ = 197807946336. Its totient is φ = 44962557696.

The previous prime is 101121109997. The next prime is 101121110059. The reversal of 101121110012 is 210011121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121109975 and 101121110002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21994898 + ... + 21999494.

It is an arithmetic number, because the mean of its divisors is an integer number (2747332588).

Almost surely, 2^101121110012 is an apocalyptic number.

It is an amenable number.

101121110012 is a deficient number, since it is larger than the sum of its proper divisors (96686836324).

101121110012 is a wasteful number, since it uses less digits than its factorization.

101121110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5144 counting only the distinct ones).

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

Adding to 101121110012 its reverse (210011121101), we get a palindrome (311132231113).

The spelling of 101121110012 in words is "one hundred one billion, one hundred twenty-one million, one hundred ten thousand, twelve".