10011122201001 has 16 divisors (see below), whose sum is σ = 13369735192320. Its totient is φ = 6663302929920.

The previous prime is 10011122200883. The next prime is 10011122201051. The reversal of 10011122201001 is 10010222111001.

10011122201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011122201001 - 2¹¹ = 10011122198953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011122201051) 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, 4335385 + ... + 6230393.

It is an arithmetic number, because the mean of its divisors is an integer number (835608449520).

Almost surely, 2^{10011122201001} is an apocalyptic number.

It is an amenable number.

10011122201001 is a deficient number, since it is larger than the sum of its proper divisors (3358612991319).

10011122201001 is a wasteful number, since it uses less digits than its factorization.

10011122201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897856.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011122201001 its reverse (10010222111001), we get a palindrome (20021344312002).

The spelling of 10011122201001 in words is "ten trillion, eleven billion, one hundred twenty-two million, two hundred one thousand, one".