38901002112001 has 16 divisors (see below), whose sum is σ = 41136041576448. Its totient is φ = 36727256966400.

The previous prime is 38901002111981. The next prime is 38901002112031. The reversal of 38901002112001 is 10021120010983.

It is a cyclic number.

It is not a de Polignac number, because 38901002112001 - 2³¹ = 38898854628353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38901002112031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77207445 + ... + 77709661.

It is an arithmetic number, because the mean of its divisors is an integer number (2571002598528).

Almost surely, 2^{38901002112001} is an apocalyptic number.

38901002112001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

38901002112001 is a deficient number, since it is larger than the sum of its proper divisors (2235039464447).

38901002112001 is a wasteful number, since it uses less digits than its factorization.

38901002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563232.

The product of its (nonzero) digits is 864, while the sum is 28.

Adding to 38901002112001 its reverse (10021120010983), we get a palindrome (48922122122984).

The spelling of 38901002112001 in words is "thirty-eight trillion, nine hundred one billion, two million, one hundred twelve thousand, one".