10201100110201 has 192 divisors, whose sum is σ = 14294439936000. Its totient is φ = 7079301504000.

The previous prime is 10201100110199. The next prime is 10201100110207.

10201100110201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201100110201 - 2¹ = 10201100110199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201100110207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24346300770 + ... + 24346301188.

It is an arithmetic number, because the mean of its divisors is an integer number (74450208000).

Almost surely, 2^{10201100110201} is an apocalyptic number.

10201100110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201100110201 is a deficient number, since it is larger than the sum of its proper divisors (4093339825799).

10201100110201 is a wasteful number, since it uses less digits than its factorization.

10201100110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 961 counting only the distinct ones).

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

It can be divided in two parts, 10201100 and 110201, that added together give a palindrome (10311301).

The spelling of 10201100110201 in words is "ten trillion, two hundred one billion, one hundred million, one hundred ten thousand, two hundred one".