101204042240301 has 576 divisors, whose sum is σ = 194245210135296. Its totient is φ = 46283747328000.

The previous prime is 101204042240293. The next prime is 101204042240303. The reversal of 101204042240301 is 103042240402101.

It is not a de Polignac number, because 101204042240301 - 2³ = 101204042240293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101204042240303) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 115397995275 + ... + 115397996151.

It is an arithmetic number, because the mean of its divisors is an integer number (337231267596).

Almost surely, 2^{101204042240301} is an apocalyptic number.

101204042240301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101204042240301 is a deficient number, since it is larger than the sum of its proper divisors (93041167894995).

101204042240301 is a wasteful number, since it uses less digits than its factorization.

101204042240301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101204042240301 its reverse (103042240402101), we get a palindrome (204246282642402).

It can be divided in two parts, 101 and 204042240301, that added together give a palindrome (204042240402).

The spelling of 101204042240301 in words is "one hundred one trillion, two hundred four billion, forty-two million, two hundred forty thousand, three hundred one".