100312002222001 has 16 divisors (see below), whose sum is σ = 100988144022528. Its totient is φ = 99637515014400.

The previous prime is 100312002221957. The next prime is 100312002222007. The reversal of 100312002222001 is 100222200213001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100312002222001 - 2⁹ = 100312002221489 is a prime.

It is a super-2 number, since 2×100312002222001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100312002222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471557275 + ... + 471769951.

It is an arithmetic number, because the mean of its divisors is an integer number (6311759001408).

Almost surely, 2^{100312002222001} is an apocalyptic number.

It is an amenable number.

100312002222001 is a deficient number, since it is larger than the sum of its proper divisors (676141800527).

100312002222001 is a wasteful number, since it uses less digits than its factorization.

100312002222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216552.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100312002222001 its reverse (100222200213001), we get a palindrome (200534202435002).

The spelling of 100312002222001 in words is "one hundred trillion, three hundred twelve billion, two million, two hundred twenty-two thousand, one".