101406968112 has 160 divisors (see below), whose sum is σ = 282578897920. Its totient is φ = 31233081600.

The previous prime is 101406968111. The next prime is 101406968119. The reversal of 101406968112 is 211869604101.

It is not an unprimeable number, because it can be changed into a prime (101406968111) 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 31 ways as a sum of consecutive naturals, for example, 35567487 + ... + 35570337.

It is an arithmetic number, because the mean of its divisors is an integer number (1766118112).

Almost surely, 2^101406968112 is an apocalyptic number.

101406968112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101406968112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141289448960).

101406968112 is an abundant number, since it is smaller than the sum of its proper divisors (181171929808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101406968112 is a wasteful number, since it uses less digits than its factorization.

101406968112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 101406968112 in words is "one hundred one billion, four hundred six million, nine hundred sixty-eight thousand, one hundred twelve".