101120194444392 has 192 divisors, whose sum is σ = 281725806332880. Its totient is φ = 32752247463936.

The previous prime is 101120194444343. The next prime is 101120194444441. The reversal of 101120194444392 is 293444491021101.

101120194444392 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 20 + 194 + 4 + 4 + 439 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101120194444343) and next prime (101120194444441).

It can be written as a sum of positive squares in 8 ways, for example, as 20619355049316 + 80500839395076 = 4540854^2 + 8972226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550560798 + ... + 550744434.

Almost surely, 2^{101120194444392} is an apocalyptic number.

101120194444392 is a gapful number since it is divisible by the number (12) 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 101120194444392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140862903166440).

101120194444392 is an abundant number, since it is smaller than the sum of its proper divisors (180605611888488).

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

101120194444392 is a wasteful number, since it uses less digits than its factorization.

101120194444392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185092 (or 185085 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 101120194444392 in words is "one hundred one trillion, one hundred twenty billion, one hundred ninety-four million, four hundred forty-four thousand, three hundred ninety-two".