101466865536 has 128 divisors (see below), whose sum is σ = 283866000000. Its totient is φ = 32024180736.

The previous prime is 101466865501. The next prime is 101466865571. The reversal of 101466865536 is 635568664101.

It is an interprime number because it is at equal distance from previous prime (101466865501) and next prime (101466865571).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×101466865536³ (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 20054175 + ... + 20059233.

It is an arithmetic number, because the mean of its divisors is an integer number (2217703125).

Almost surely, 2^101466865536 is an apocalyptic number.

101466865536 is a gapful number since it is divisible by the number (16) 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 101466865536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141933000000).

101466865536 is an abundant number, since it is smaller than the sum of its proper divisors (182399134464).

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

101466865536 is a wasteful number, since it uses less digits than its factorization.

101466865536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 101466865536 in words is "one hundred one billion, four hundred sixty-six million, eight hundred sixty-five thousand, five hundred thirty-six".