100112100201 has 8 divisors (see below), whose sum is σ = 148314222560. Its totient is φ = 66741400116.

The previous prime is 100112100047. The next prime is 100112100229. The reversal of 100112100201 is 102001211001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100112100201 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112100001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853927755 + ... + 1853927808.

It is an arithmetic number, because the mean of its divisors is an integer number (18539277820).

Almost surely, 2^100112100201 is an apocalyptic number.

It is an amenable number.

100112100201 is a deficient number, since it is larger than the sum of its proper divisors (48202122359).

100112100201 is an equidigital number, since it uses as much as digits as its factorization.

100112100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707855572 (or 3707855566 counting only the distinct ones).

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

Adding to 100112100201 its reverse (102001211001), we get a palindrome (202113311202).

The spelling of 100112100201 in words is "one hundred billion, one hundred twelve million, one hundred thousand, two hundred one".