101689388433000 has 768 divisors, whose sum is σ = 352604218824000. Its totient is φ = 26426334412800.

The previous prime is 101689388432993. The next prime is 101689388433041. The reversal of 101689388433000 is 334883986101.

101689388433000 is a `hidden beast` number, since 10 + 168 + 9 + 38 + 8 + 433 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 20972424748356 + 80716963684644 = 4579566^2 + 8984262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19284918364 + ... + 19284923636.

Almost surely, 2^{101689388433000} is an apocalyptic number.

101689388433000 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 101689388433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176302109412000).

101689388433000 is an abundant number, since it is smaller than the sum of its proper divisors (250914830391000).

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

101689388433000 is a wasteful number, since it uses less digits than its factorization.

101689388433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 101689388433000 in words is "one hundred one trillion, six hundred eighty-nine billion, three hundred eighty-eight million, four hundred thirty-three thousand".