101442056430 has 256 divisors, whose sum is σ = 304460384256. Its totient is φ = 21251358720.

The previous prime is 101442056407. The next prime is 101442056449. The reversal of 101442056430 is 34650244101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14071887 + ... + 14079093.

It is an arithmetic number, because the mean of its divisors is an integer number (1189298376).

Almost surely, 2^101442056430 is an apocalyptic number.

101442056430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101442056430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152230192128).

101442056430 is an abundant number, since it is smaller than the sum of its proper divisors (203018327826).

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

101442056430 is a wasteful number, since it uses less digits than its factorization.

101442056430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 101442056430 in words is "one hundred one billion, four hundred forty-two million, fifty-six thousand, four hundred thirty".