10032114001 has 32 divisors (see below), whose sum is σ = 13083856128. Its totient is φ = 7464683520.

The previous prime is 10032113983. The next prime is 10032114017. The reversal of 10032114001 is 10041123001.

It is not a de Polignac number, because 10032114001 - 2⁷ = 10032113873 is a prime.

It is a super-2 number, since 2×10032114001² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10032114031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3527286 + ... + 3530128.

It is an arithmetic number, because the mean of its divisors is an integer number (408870504).

Almost surely, 2^10032114001 is an apocalyptic number.

It is an amenable number.

10032114001 is a deficient number, since it is larger than the sum of its proper divisors (3051742127).

10032114001 is a wasteful number, since it uses less digits than its factorization.

10032114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10032114001 its reverse (10041123001), we get a palindrome (20073237002).

The spelling of 10032114001 in words is "ten billion, thirty-two million, one hundred fourteen thousand, one".