101041430304321 has 48 divisors (see below), whose sum is σ = 166425010773840. Its totient is φ = 58520386068480.

The previous prime is 101041430304233. The next prime is 101041430304337. The reversal of 101041430304321 is 123403034140101.

101041430304321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 1 + 4 + 30 + 304 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9749138214321 + 91292292090000 = 3122361^2 + 9554700^2 .

It is not a de Polignac number, because 101041430304321 - 2³³ = 101032840369729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101041430304341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89302825 + ... + 90427193.

It is an arithmetic number, because the mean of its divisors is an integer number (3467187724455).

Almost surely, 2^{101041430304321} is an apocalyptic number.

It is an amenable number.

101041430304321 is a deficient number, since it is larger than the sum of its proper divisors (65383580469519).

101041430304321 is a wasteful number, since it uses less digits than its factorization.

101041430304321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169586 (or 1169583 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101041430304321 its reverse (123403034140101), we get a palindrome (224444464444422).

The spelling of 101041430304321 in words is "one hundred one trillion, forty-one billion, four hundred thirty million, three hundred four thousand, three hundred twenty-one".