101282049792 has 864 divisors, whose sum is σ = 379575705600. Its totient is φ = 25740288000.

The previous prime is 101282049779. The next prime is 101282049793. The reversal of 101282049792 is 297940282101.

101282049792 is a `hidden beast` number, since 10 + 128 + 20 + 497 + 9 + 2 = 666.

It is a super-2 number, since 2×101282049792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101282049793) 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 95 ways as a sum of consecutive naturals, for example, 530272417 + ... + 530272607.

Almost surely, 2^101282049792 is an apocalyptic number.

101282049792 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 101282049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189787852800).

101282049792 is an abundant number, since it is smaller than the sum of its proper divisors (278293655808).

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

101282049792 is a wasteful number, since it uses less digits than its factorization.

101282049792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101282049792 in words is "one hundred one billion, two hundred eighty-two million, forty-nine thousand, seven hundred ninety-two".