101941435008 has 256 divisors, whose sum is σ = 344529888000. Its totient is φ = 29068554240.

The previous prime is 101941434967. The next prime is 101941435019. The reversal of 101941435008 is 800534149101.

101941435008 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 143 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 13083978 + ... + 13091766.

It is an arithmetic number, because the mean of its divisors is an integer number (1345819875).

Almost surely, 2^101941435008 is an apocalyptic number.

101941435008 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 101941435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172264944000).

101941435008 is an abundant number, since it is smaller than the sum of its proper divisors (242588452992).

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

101941435008 is an equidigital number, since it uses as much as digits as its factorization.

101941435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101941435008 in words is "one hundred one billion, nine hundred forty-one million, four hundred thirty-five thousand, eight".