101066140620 has 144 divisors (see below), whose sum is σ = 318733335648. Its totient is φ = 25901061120.

The previous prime is 101066140613. The next prime is 101066140633. The reversal of 101066140620 is 26041660101.

101066140620 is a `hidden beast` number, since 10 + 10 + 6 + 6 + 14 + 0 + 620 = 666.

It is a super-2 number, since 2×101066140620² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 392262 + ... + 596658.

It is an arithmetic number, because the mean of its divisors is an integer number (2213425942).

Almost surely, 2^101066140620 is an apocalyptic number.

101066140620 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 101066140620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159366667824).

101066140620 is an abundant number, since it is smaller than the sum of its proper divisors (217667195028).

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

101066140620 is a wasteful number, since it uses less digits than its factorization.

101066140620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204520 (or 204515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101066140620 in words is "one hundred one billion, sixty-six million, one hundred forty thousand, six hundred twenty".