10121001111001 has 12 divisors (see below), whose sum is σ = 11155049441536. Its totient is φ = 9175839460920.

The previous prime is 10121001110999. The next prime is 10121001111007. The reversal of 10121001111001 is 10011110012101.

It is not a de Polignac number, because 10121001111001 - 2¹ = 10121001110999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121001111007) 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 11 ways as a sum of consecutive naturals, for example, 113912865 + ... + 114001678.

Almost surely, 2^{10121001111001} is an apocalyptic number.

10121001111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121001111001 is a deficient number, since it is larger than the sum of its proper divisors (1034048330535).

10121001111001 is a wasteful number, since it uses less digits than its factorization.

10121001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227914932 (or 227914921 counting only the distinct ones).

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

Adding to 10121001111001 its reverse (10011110012101), we get a palindrome (20132111123102).

The spelling of 10121001111001 in words is "ten trillion, one hundred twenty-one billion, one million, one hundred eleven thousand, one".