10011002011201 has 16 divisors (see below), whose sum is σ = 10295147858688. Its totient is φ = 9728774697600.

The previous prime is 10011002011169. The next prime is 10011002011249. The reversal of 10011002011201 is 10211020011001.

It is a cyclic number.

It is not a de Polignac number, because 10011002011201 - 2⁵ = 10011002011169 is a prime.

It is a super-2 number, since 2×10011002011201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011002011261) 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, 54986346 + ... + 55168108.

It is an arithmetic number, because the mean of its divisors is an integer number (643446741168).

Almost surely, 2^{10011002011201} is an apocalyptic number.

It is an amenable number.

10011002011201 is a deficient number, since it is larger than the sum of its proper divisors (284145847487).

10011002011201 is a wasteful number, since it uses less digits than its factorization.

10011002011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187032.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011002011201 its reverse (10211020011001), we get a palindrome (20222022022202).

The spelling of 10011002011201 in words is "ten trillion, eleven billion, two million, eleven thousand, two hundred one".