101466117126 has 64 divisors (see below), whose sum is σ = 258924729600. Its totient is φ = 29129025600.

The previous prime is 101466117119. The next prime is 101466117127. The reversal of 101466117126 is 621711664101.

101466117126 is a `hidden beast` number, since 1 + 0 + 1 + 466 + 1 + 171 + 26 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101466117127) 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 31 ways as a sum of consecutive naturals, for example, 4483935 + ... + 4506506.

It is an arithmetic number, because the mean of its divisors is an integer number (4045698900).

Almost surely, 2^101466117126 is an apocalyptic number.

101466117126 is an abundant number, since it is smaller than the sum of its proper divisors (157458612474).

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

101466117126 is a wasteful number, since it uses less digits than its factorization.

101466117126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990482 (or 8990476 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 101466117126 in words is "one hundred one billion, four hundred sixty-six million, one hundred seventeen thousand, one hundred twenty-six".