101842272420 has 192 divisors, whose sum is σ = 340572266496. Its totient is φ = 22252930560.

The previous prime is 101842272397. The next prime is 101842272491. The reversal of 101842272420 is 24272248101.

101842272420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 788830 + ... + 908810.

It is an arithmetic number, because the mean of its divisors is an integer number (1773813888).

Almost surely, 2^101842272420 is an apocalyptic number.

101842272420 is a gapful number since it is divisible by the number (10) 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 101842272420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170286133248).

101842272420 is an abundant number, since it is smaller than the sum of its proper divisors (238729994076).

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

101842272420 is a wasteful number, since it uses less digits than its factorization.

101842272420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120090 (or 120088 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 101842272420 in words is "one hundred one billion, eight hundred forty-two million, two hundred seventy-two thousand, four hundred twenty".