10100112201 has 12 divisors (see below), whose sum is σ = 15059665920. Its totient is φ = 6516201240.

The previous prime is 10100112179. The next prime is 10100112203. The reversal of 10100112201 is 10221100101.

It is a happy number.

It is not a de Polignac number, because 10100112201 - 2⁶ = 10100112137 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100112203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18100281 + ... + 18100838.

It is an arithmetic number, because the mean of its divisors is an integer number (1254972160).

Almost surely, 2^10100112201 is an apocalyptic number.

It is an amenable number.

10100112201 is a deficient number, since it is larger than the sum of its proper divisors (4959553719).

10100112201 is a wasteful number, since it uses less digits than its factorization.

10100112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36201156 (or 36201153 counting only the distinct ones).

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

Adding to 10100112201 its reverse (10221100101), we get a palindrome (20321212302).

The spelling of 10100112201 in words is "ten billion, one hundred million, one hundred twelve thousand, two hundred one".