100311102210001 has 2 divisors, whose sum is σ = 100311102210002. Its totient is φ = 100311102210000.

The previous prime is 100311102209897. The next prime is 100311102210013. The reversal of 100311102210001 is 100012201113001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99110467019776 + 1200635190225 = 9955424^2 + 1095735^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311102210001 - 2¹⁹ = 100311101685713 is a prime.

It is not a weakly prime, because it can be changed into another prime (100311102280001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155551105000 + 50155551105001.

It is an arithmetic number, because the mean of its divisors is an integer number (50155551105001).

Almost surely, 2^{100311102210001} is an apocalyptic number.

It is an amenable number.

100311102210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100311102210001 is an equidigital number, since it uses as much as digits as its factorization.

100311102210001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100311102210001 its reverse (100012201113001), we get a palindrome (200323303323002).

The spelling of 100311102210001 in words is "one hundred trillion, three hundred eleven billion, one hundred two million, two hundred ten thousand, one".