101444402192 has 320 divisors, whose sum is σ = 255007678464. Its totient is φ = 38103367680.

The previous prime is 101444402167. The next prime is 101444402221. The reversal of 101444402192 is 291204444101.

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 63 ways as a sum of consecutive naturals, for example, 157767023 + ... + 157767665.

Almost surely, 2^101444402192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101444402192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127503839232).

101444402192 is an abundant number, since it is smaller than the sum of its proper divisors (153563276272).

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

101444402192 is a wasteful number, since it uses less digits than its factorization.

101444402192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 101444402192 its reverse (291204444101), we get a palindrome (392648846293).

The spelling of 101444402192 in words is "one hundred one billion, four hundred forty-four million, four hundred two thousand, one hundred ninety-two".