101200120012 has 48 divisors (see below), whose sum is σ = 189574197120. Its totient is φ = 47102902272.

The previous prime is 101200119953. The next prime is 101200120027. The reversal of 101200120012 is 210021002101.

101200120012 is a modest number, since divided by 120012 gives 1012 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 4264893 + ... + 4288555.

It is an arithmetic number, because the mean of its divisors is an integer number (3949462440).

Almost surely, 2^101200120012 is an apocalyptic number.

It is an amenable number.

101200120012 is a deficient number, since it is larger than the sum of its proper divisors (88374077108).

101200120012 is a wasteful number, since it uses less digits than its factorization.

101200120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24370 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200120012 its reverse (210021002101), we get a palindrome (311221122113).

The spelling of 101200120012 in words is "one hundred one billion, two hundred million, one hundred twenty thousand, twelve".