10111001121001 has 16 divisors (see below), whose sum is σ = 11492624404800. Its totient is φ = 8811011966400.

The previous prime is 10111001120989. The next prime is 10111001121037. The reversal of 10111001121001 is 10012110011101.

It is a cyclic number.

It is not a de Polignac number, because 10111001121001 - 2⁷ = 10111001120873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111001121061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113969790 + ... + 114058471.

It is an arithmetic number, because the mean of its divisors is an integer number (718289025300).

Almost surely, 2^{10111001121001} is an apocalyptic number.

10111001121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111001121001 is a deficient number, since it is larger than the sum of its proper divisors (1381623283799).

10111001121001 is a wasteful number, since it uses less digits than its factorization.

10111001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228028440.

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

Adding to 10111001121001 its reverse (10012110011101), we get a palindrome (20123111132102).

The spelling of 10111001121001 in words is "ten trillion, one hundred eleven billion, one million, one hundred twenty-one thousand, one".