100200001102201 has 64 divisors (see below), whose sum is σ = 138879581847552. Its totient is φ = 69744265920000.

The previous prime is 100200001102199. The next prime is 100200001102217. The reversal of 100200001102201 is 102201100002001.

It is not a de Polignac number, because 100200001102201 - 2¹ = 100200001102199 is a prime.

It is a super-2 number, since 2×100200001102201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100200001102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074587941 + ... + 1074681181.

It is an arithmetic number, because the mean of its divisors is an integer number (2169993466368).

Almost surely, 2^{100200001102201} is an apocalyptic number.

100200001102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200001102201 is a deficient number, since it is larger than the sum of its proper divisors (38679580745351).

100200001102201 is a wasteful number, since it uses less digits than its factorization.

100200001102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127934.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200001102201 its reverse (102201100002001), we get a palindrome (202401101104202).

The spelling of 100200001102201 in words is "one hundred trillion, two hundred billion, one million, one hundred two thousand, two hundred one".