10201122110201 has 16 divisors (see below), whose sum is σ = 11134199798208. Its totient is φ = 9268995916800.

The previous prime is 10201122110197. The next prime is 10201122110209.

10201122110201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10201122110201 - 2² = 10201122110197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10201122110209) 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, 265683461 + ... + 265721853.

It is an arithmetic number, because the mean of its divisors is an integer number (695887487388).

Almost surely, 2^{10201122110201} is an apocalyptic number.

10201122110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201122110201 is a deficient number, since it is larger than the sum of its proper divisors (933077688007).

10201122110201 is a wasteful number, since it uses less digits than its factorization.

10201122110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50152.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1020112 and 2110201, that added together give a palindrome (3130313).

The spelling of 10201122110201 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred ten thousand, two hundred one".