101668457028096 has 320 divisors, whose sum is σ = 345162005717760. Its totient is φ = 28944748707840.

The previous prime is 101668457028091. The next prime is 101668457028101. The reversal of 101668457028096 is 690820754866101.

101668457028096 is a `hidden beast` number, since 1 + 0 + 16 + 6 + 8 + 457 + 0 + 2 + 80 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (101668457028091) and next prime (101668457028101).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (101668457028091) 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 31 ways as a sum of consecutive naturals, for example, 25322340 + ... + 29061276.

It is an arithmetic number, because the mean of its divisors is an integer number (1078631267868).

Almost surely, 2^{101668457028096} is an apocalyptic number.

101668457028096 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 101668457028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172581002858880).

101668457028096 is an abundant number, since it is smaller than the sum of its proper divisors (243493548689664).

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

101668457028096 is an equidigital number, since it uses as much as digits as its factorization.

101668457028096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739252 (or 3739230 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 101668457028096 in words is "one hundred one trillion, six hundred sixty-eight billion, four hundred fifty-seven million, twenty-eight thousand, ninety-six".