100120201210001 has 12 divisors (see below), whose sum is σ = 116481727979748. Its totient is φ = 85805988976512.

The previous prime is 100120201209989. The next prime is 100120201210027. The reversal of 100120201210001 is 100012102021001.

It can be written as a sum of positive squares in 2 ways, for example, as 28781079040000 + 71339122170001 = 5364800^2 + 8446249^2 .

It is not a de Polignac number, because 100120201210001 - 2²² = 100120197015697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120201212001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134462396 + ... + 135204941.

It is an arithmetic number, because the mean of its divisors is an integer number (9706810664979).

Almost surely, 2^{100120201210001} is an apocalyptic number.

It is an amenable number.

100120201210001 is a deficient number, since it is larger than the sum of its proper divisors (16361526769747).

100120201210001 is an equidigital number, since it uses as much as digits as its factorization.

100120201210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269674928 (or 269674921 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120201210001 its reverse (100012102021001), we get a palindrome (200132303231002).

The spelling of 100120201210001 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, two hundred ten thousand, one".