10112100201 has 24 divisors (see below), whose sum is σ = 16803556224. Its totient is φ = 5740070400.

The previous prime is 10112100197. The next prime is 10112100209. The reversal of 10112100201 is 10200121101.

It is a happy number.

It is not a de Polignac number, because 10112100201 - 2² = 10112100197 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10112100209) 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 23 ways as a sum of consecutive naturals, for example, 521976 + ... + 541001.

It is an arithmetic number, because the mean of its divisors is an integer number (700148176).

Almost surely, 2^10112100201 is an apocalyptic number.

It is an amenable number.

10112100201 is a deficient number, since it is larger than the sum of its proper divisors (6691456023).

10112100201 is a wasteful number, since it uses less digits than its factorization.

10112100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063141 (or 1063138 counting only the distinct ones).

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

Adding to 10112100201 its reverse (10200121101), we get a palindrome (20312221302).

The spelling of 10112100201 in words is "ten billion, one hundred twelve million, one hundred thousand, two hundred one".