101819954016 has 192 divisors, whose sum is σ = 325037180160. Its totient is φ = 30753146880.

The previous prime is 101819954011. The next prime is 101819954021. The reversal of 101819954016 is 610459918101.

101819954016 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 99 + 540 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (101819954011) and next prime (101819954021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101819954011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2900280 + ... + 2935176.

It is an arithmetic number, because the mean of its divisors is an integer number (1692901980).

Almost surely, 2^101819954016 is an apocalyptic number.

101819954016 is a gapful number since it is divisible by the number (16) 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 101819954016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162518590080).

101819954016 is an abundant number, since it is smaller than the sum of its proper divisors (223217226144).

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

101819954016 is a wasteful number, since it uses less digits than its factorization.

101819954016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35234 (or 35220 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 101819954016 in words is "one hundred one billion, eight hundred nineteen million, nine hundred fifty-four thousand, sixteen".