10200109101 has 32 divisors (see below), whose sum is σ = 16783683840. Its totient is φ = 5365799424.

The previous prime is 10200109099. The next prime is 10200109103. The reversal of 10200109101 is 10190100201.

It is an interprime number because it is at equal distance from previous prime (10200109099) and next prime (10200109103).

It is not a de Polignac number, because 10200109101 - 2¹ = 10200109099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200109103) 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, 51745 + ... + 151913.

It is an arithmetic number, because the mean of its divisors is an integer number (524490120).

Almost surely, 2^10200109101 is an apocalyptic number.

It is an amenable number.

10200109101 is a deficient number, since it is larger than the sum of its proper divisors (6583574739).

10200109101 is a wasteful number, since it uses less digits than its factorization.

10200109101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100565.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10200109101 its reverse (10190100201), we get a palindrome (20390209302).

The spelling of 10200109101 in words is "ten billion, two hundred million, one hundred nine thousand, one hundred one".