10201012101 has 40 divisors (see below), whose sum is σ = 17488584960. Its totient is φ = 5804682912.

The previous prime is 10201012099. The next prime is 10201012121. The reversal of 10201012101 is 10121010201.

It is a happy number.

It is not a de Polignac number, because 10201012101 - 2¹ = 10201012099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97875 + ... + 173151.

It is an arithmetic number, because the mean of its divisors is an integer number (437214624).

Almost surely, 2^10201012101 is an apocalyptic number.

It is an amenable number.

10201012101 is a deficient number, since it is larger than the sum of its proper divisors (7287572859).

10201012101 is an equidigital number, since it uses as much as digits as its factorization.

10201012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75535 (or 75526 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10201012101 its reverse (10121010201), we get a palindrome (20322022302).

The spelling of 10201012101 in words is "ten billion, two hundred one million, twelve thousand, one hundred one".