101000100201 has 48 divisors (see below), whose sum is σ = 181804907520. Its totient is φ = 48431597760.

The previous prime is 101000100197. The next prime is 101000100217. The reversal of 101000100201 is 102001000101.

It is not a de Polignac number, because 101000100201 - 2² = 101000100197 is a prime.

It is a super-2 number, since 2×101000100201² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101000100201.

It is not an unprimeable number, because it can be changed into a prime (101000100221) 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 47 ways as a sum of consecutive naturals, for example, 1254541 + ... + 1332618.

It is an arithmetic number, because the mean of its divisors is an integer number (3787602240).

Almost surely, 2^101000100201 is an apocalyptic number.

101000100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000100201 is a deficient number, since it is larger than the sum of its proper divisors (80804807319).

101000100201 is a wasteful number, since it uses less digits than its factorization.

101000100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587206 (or 2587193 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000100201 its reverse (102001000101), we get a palindrome (203001100302).

The spelling of 101000100201 in words is "one hundred one billion, one hundred thousand, two hundred one".