204101004112001 has 8 divisors (see below), whose sum is σ = 216109145809800. Its totient is φ = 192093106889728.

The previous prime is 204101004111997. The next prime is 204101004112051. The reversal of 204101004112001 is 100211400101402.

It can be written as a sum of positive squares in 4 ways, for example, as 45962230407025 + 158138773704976 = 6779545^2 + 12575324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 204101004112001 - 2² = 204101004111997 is a prime.

It is a super-2 number, since 2×204101004112001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204101004112051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59398676 + ... + 62740773.

It is an arithmetic number, because the mean of its divisors is an integer number (27013643226225).

Almost surely, 2^{204101004112001} is an apocalyptic number.

It is an amenable number.

204101004112001 is a deficient number, since it is larger than the sum of its proper divisors (12008141697799).

204101004112001 is a wasteful number, since it uses less digits than its factorization.

204101004112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122237763.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 204101004112001 its reverse (100211400101402), we get a palindrome (304312404213403).

The spelling of 204101004112001 in words is "two hundred four trillion, one hundred one billion, four million, one hundred twelve thousand, one".