101802151047168 has 1664 divisors, whose sum is σ = 376798874941440. Its totient is φ = 26684770222080.

The previous prime is 101802151047073. The next prime is 101802151047323. The reversal of 101802151047168 is 861740151208101.

It is a happy number.

101802151047168 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 0 + 2 + 1 + 510 + 4 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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, 74471214421 + ... + 74471215787.

Almost surely, 2^{101802151047168} is an apocalyptic number.

101802151047168 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 101802151047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188399437470720).

101802151047168 is an abundant number, since it is smaller than the sum of its proper divisors (274996723894272).

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

101802151047168 is a wasteful number, since it uses less digits than its factorization.

101802151047168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 101802151047168 in words is "one hundred one trillion, eight hundred two billion, one hundred fifty-one million, forty-seven thousand, one hundred sixty-eight".