101954643699168 has 1152 divisors, whose sum is σ = 358512955766784. Its totient is φ = 28181716992000.

The previous prime is 101954643699149. The next prime is 101954643699241. The reversal of 101954643699168 is 861996346459101.

101954643699168 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 5 + 46 + 436 + 9 + 91 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 101954643699096 and 101954643699105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20592735093 + ... + 20592740043.

It is an arithmetic number, because the mean of its divisors is an integer number (311209162992).

Almost surely, 2^{101954643699168} is an apocalyptic number.

101954643699168 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 101954643699168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179256477883392).

101954643699168 is an abundant number, since it is smaller than the sum of its proper divisors (256558312067616).

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

101954643699168 is a wasteful number, since it uses less digits than its factorization.

101954643699168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 101954643699168 in words is "one hundred one trillion, nine hundred fifty-four billion, six hundred forty-three million, six hundred ninety-nine thousand, one hundred sixty-eight".