10201122011101 has 256 divisors, whose sum is σ = 14325645312000. Its totient is φ = 7051565445120.

The previous prime is 10201122011029. The next prime is 10201122011161. The reversal of 10201122011101 is 10111022110201.

It is a happy number.

10201122011101 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 10201122011101 - 2¹³ = 10201122002909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201122011161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11100241120 + ... + 11100242038.

It is an arithmetic number, because the mean of its divisors is an integer number (55959552000).

Almost surely, 2^{10201122011101} is an apocalyptic number.

It is an amenable number.

10201122011101 is a deficient number, since it is larger than the sum of its proper divisors (4124523300899).

10201122011101 is a wasteful number, since it uses less digits than its factorization.

10201122011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10201122011101 its reverse (10111022110201), we get a palindrome (20312144121302).

The spelling of 10201122011101 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, eleven thousand, one hundred one".