101694158512128 has 1344 divisors, whose sum is σ = 379952376065280. Its totient is φ = 26310802931712.

The previous prime is 101694158512127. The next prime is 101694158512159. The reversal of 101694158512128 is 821215851496101.

101694158512128 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 9 + 41 + 585 + 1 + 2 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101694158512127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13868011950 + ... + 13868019282.

Almost surely, 2^{101694158512128} is an apocalyptic number.

101694158512128 is a gapful number since it is divisible by the number (18) 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 101694158512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189976188032640).

101694158512128 is an abundant number, since it is smaller than the sum of its proper divisors (278258217553152).

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

101694158512128 is an equidigital number, since it uses as much as digits as its factorization.

101694158512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7454 (or 7411 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 101694158512128 in words is "one hundred one trillion, six hundred ninety-four billion, one hundred fifty-eight million, five hundred twelve thousand, one hundred twenty-eight".