100202112110001 has 16 divisors (see below), whose sum is σ = 147191581430208. Its totient is φ = 60127279992000.

The previous prime is 100202112109961. The next prime is 100202112110029. The reversal of 100202112110001 is 100011211202001.

It is not a de Polignac number, because 100202112110001 - 2¹⁷ = 100202111978929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100202112110041) 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 15 ways as a sum of consecutive naturals, for example, 15031816666 + ... + 15031823331.

It is an arithmetic number, because the mean of its divisors is an integer number (9199473839388).

Almost surely, 2^{100202112110001} is an apocalyptic number.

100202112110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202112110001 is a deficient number, since it is larger than the sum of its proper divisors (46989469320207).

100202112110001 is a wasteful number, since it uses less digits than its factorization.

100202112110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30063640112.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100202112110001 its reverse (100011211202001), we get a palindrome (200213323312002).

The spelling of 100202112110001 in words is "one hundred trillion, two hundred two billion, one hundred twelve million, one hundred ten thousand, one".