2032101100113 has 32 divisors (see below), whose sum is σ = 3116534498304. Its totient is φ = 1153702135872.

The previous prime is 2032101100103. The next prime is 2032101100193. The reversal of 2032101100113 is 3110011012302.

It is a happy number.

It is not a de Polignac number, because 2032101100113 - 2⁶ = 2032101100049 is a prime.

It is a super-2 number, since 2×2032101100113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032101100092 and 2032101100101.

It is not an unprimeable number, because it can be changed into a prime (2032101100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52426006 + ... + 52464752.

It is an arithmetic number, because the mean of its divisors is an integer number (97391703072).

Almost surely, 2^{2032101100113} is an apocalyptic number.

It is an amenable number.

2032101100113 is a deficient number, since it is larger than the sum of its proper divisors (1084433398191).

2032101100113 is a wasteful number, since it uses less digits than its factorization.

2032101100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54821.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2032101100113 its reverse (3110011012302), we get a palindrome (5142112112415).

The spelling of 2032101100113 in words is "two trillion, thirty-two billion, one hundred one million, one hundred thousand, one hundred thirteen".