201010011100113 has 32 divisors (see below), whose sum is σ = 287148519936000. Its totient is φ = 124703744659200.

The previous prime is 201010011100111. The next prime is 201010011100201. The reversal of 201010011100113 is 311001110010102.

It is not a de Polignac number, because 201010011100113 - 2¹ = 201010011100111 is a prime.

It is a super-2 number, since 2×201010011100113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201010011100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90543288 + ... + 92736761.

It is an arithmetic number, because the mean of its divisors is an integer number (8973391248000).

Almost surely, 2^{201010011100113} is an apocalyptic number.

It is an amenable number.

201010011100113 is a deficient number, since it is larger than the sum of its proper divisors (86138508835887).

201010011100113 is a wasteful number, since it uses less digits than its factorization.

201010011100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183280413.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 201010011100113 its reverse (311001110010102), we get a palindrome (512011121110215).

The spelling of 201010011100113 in words is "two hundred one trillion, ten billion, eleven million, one hundred thousand, one hundred thirteen".