100001102201 has 64 divisors (see below), whose sum is σ = 139048358400. Its totient is φ = 69372979200.

The previous prime is 100001102189. The next prime is 100001102219. The reversal of 100001102201 is 102201100001.

It is not a de Polignac number, because 100001102201 - 2¹⁰ = 100001101177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001102281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46706591 + ... + 46708731.

It is an arithmetic number, because the mean of its divisors is an integer number (2172630600).

Almost surely, 2^100001102201 is an apocalyptic number.

100001102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001102201 is a deficient number, since it is larger than the sum of its proper divisors (39047256199).

100001102201 is a wasteful number, since it uses less digits than its factorization.

100001102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001102201 its reverse (102201100001), we get a palindrome (202202202202).

It can be divided in two parts, 100001 and 102201, that multiplied together give a palindrome (10220202201).

The spelling of 100001102201 in words is "one hundred billion, one million, one hundred two thousand, two hundred one".