10201020011121 has 12 divisors (see below), whose sum is σ = 14354897967312. Its totient is φ = 6442749480024.

The previous prime is 10201020011107. The next prime is 10201020011123. The reversal of 10201020011121 is 12111002010201.

It is not a de Polignac number, because 10201020011121 - 2⁵ = 10201020011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201020011097 and 10201020011106.

It is not an unprimeable number, because it can be changed into a prime (10201020011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4709611111 + ... + 4709613276.

It is an arithmetic number, because the mean of its divisors is an integer number (1196241497276).

Almost surely, 2^{10201020011121} is an apocalyptic number.

It is an amenable number.

10201020011121 is a deficient number, since it is larger than the sum of its proper divisors (4153877956191).

10201020011121 is an equidigital number, since it uses as much as digits as its factorization.

10201020011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419224428 (or 9419224409 counting only the distinct ones).

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

Adding to 10201020011121 its reverse (12111002010201), we get a palindrome (22312022021322).

The spelling of 10201020011121 in words is "ten trillion, two hundred one billion, twenty million, eleven thousand, one hundred twenty-one".