101691006273120 has 768 divisors, whose sum is σ = 356746021632000. Its totient is φ = 24143631482880.

The previous prime is 101691006273083. The next prime is 101691006273193. The reversal of 101691006273120 is 21372600196101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39894469606 + ... + 39894472154.

It is an arithmetic number, because the mean of its divisors is an integer number (464513049000).

Almost surely, 2^{101691006273120} is an apocalyptic number.

101691006273120 is a gapful number since it is divisible by the number (10) 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 101691006273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178373010816000).

101691006273120 is an abundant number, since it is smaller than the sum of its proper divisors (255055015358880).

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

101691006273120 is a wasteful number, since it uses less digits than its factorization.

101691006273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 101691006273120 in words is "one hundred one trillion, six hundred ninety-one billion, six million, two hundred seventy-three thousand, one hundred twenty".