10100111112001 has 8 divisors (see below), whose sum is σ = 10428787890944. Its totient is φ = 9771613504560.

The previous prime is 10100111111927. The next prime is 10100111112059. The reversal of 10100111112001 is 10021111100101.

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 10100111112001 - 2¹¹ = 10100111109953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100111112101) 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, 44678295 + ... + 44903788.

It is an arithmetic number, because the mean of its divisors is an integer number (1303598486368).

Almost surely, 2^{10100111112001} is an apocalyptic number.

It is an amenable number.

10100111112001 is a deficient number, since it is larger than the sum of its proper divisors (328676778943).

10100111112001 is an equidigital number, since it uses as much as digits as its factorization.

10100111112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89585751.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10100111112001 its reverse (10021111100101), we get a palindrome (20121222212102).

The spelling of 10100111112001 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred twelve thousand, one".