101734166124912 has 80 divisors (see below), whose sum is σ = 285569589201920. Its totient is φ = 31090237516800.

The previous prime is 101734166124911. The next prime is 101734166124923. The reversal of 101734166124912 is 219421661437101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101734166124911) by changing a digit.

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, 1799175289 + ... + 1799231832.

It is an arithmetic number, because the mean of its divisors is an integer number (3569619865024).

Almost surely, 2^{101734166124912} is an apocalyptic number.

101734166124912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101734166124912 is an abundant number, since it is smaller than the sum of its proper divisors (183835423077008).

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

101734166124912 is a wasteful number, since it uses less digits than its factorization.

101734166124912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598407182 (or 3598407176 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 101734166124912 in words is "one hundred one trillion, seven hundred thirty-four billion, one hundred sixty-six million, one hundred twenty-four thousand, nine hundred twelve".