10111121112001 has 32 divisors (see below), whose sum is σ = 12887954374400. Its totient is φ = 7880604576768.

The previous prime is 10111121111977. The next prime is 10111121112013. The reversal of 10111121112001 is 10021112111101.

It is not a de Polignac number, because 10111121112001 - 2¹⁹ = 10111120587713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10111121112031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16623456 + ... + 17220961.

It is an arithmetic number, because the mean of its divisors is an integer number (402748574200).

Almost surely, 2^{10111121112001} is an apocalyptic number.

It is an amenable number.

10111121112001 is a deficient number, since it is larger than the sum of its proper divisors (2776833262399).

10111121112001 is an equidigital number, since it uses as much as digits as its factorization.

10111121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33844518 (or 33844504 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10111121112001 its reverse (10021112111101), we get a palindrome (20132233223102).

The spelling of 10111121112001 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one".