10200032101 has 16 divisors (see below), whose sum is σ = 11880747520. Its totient is φ = 8575994880.

The previous prime is 10200032039. The next prime is 10200032131. The reversal of 10200032101 is 10123000201.

It is not a de Polignac number, because 10200032101 - 2²¹ = 10197934949 is a prime.

It is a super-2 number, since 2×10200032101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200032131) 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 15 ways as a sum of consecutive naturals, for example, 124165 + ... + 189253.

It is an arithmetic number, because the mean of its divisors is an integer number (742546720).

Almost surely, 2^10200032101 is an apocalyptic number.

It is an amenable number.

10200032101 is a deficient number, since it is larger than the sum of its proper divisors (1680715419).

10200032101 is an equidigital number, since it uses as much as digits as its factorization.

10200032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65524.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10200032101 its reverse (10123000201), we get a palindrome (20323032302).

The spelling of 10200032101 in words is "ten billion, two hundred million, thirty-two thousand, one hundred one".