100011112201 has 48 divisors (see below), whose sum is σ = 137566926720. Its totient is φ = 70578293760.

The previous prime is 100011112177. The next prime is 100011112207. The reversal of 100011112201 is 102211110001.

It is not a de Polignac number, because 100011112201 - 2²³ = 100002723593 is a prime.

It is a super-2 number, since 2×100011112201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011112207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617185 + ... + 762193.

It is an arithmetic number, because the mean of its divisors is an integer number (2865977640).

Almost surely, 2^100011112201 is an apocalyptic number.

100011112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011112201 is a deficient number, since it is larger than the sum of its proper divisors (37555814519).

100011112201 is a wasteful number, since it uses less digits than its factorization.

100011112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145106 (or 145093 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011112201 its reverse (102211110001), we get a palindrome (202222222202).

It can be divided in two parts, 100011 and 112201, that added together give a palindrome (212212).

The spelling of 100011112201 in words is "one hundred billion, eleven million, one hundred twelve thousand, two hundred one".