100110011022001 has 2 divisors, whose sum is σ = 100110011022002. Its totient is φ = 100110011022000.

The previous prime is 100110011021959. The next prime is 100110011022011. The reversal of 100110011022001 is 100220110011001.

It is an a-pointer prime, because the next prime (100110011022011) can be obtained adding 100110011022001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64645603982001 + 35464407040000 = 8040249^2 + 5955200^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110011022001 - 2⁷ = 100110011021873 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110011022011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005511000 + 50055005511001.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005511001).

Almost surely, 2^{100110011022001} is an apocalyptic number.

It is an amenable number.

100110011022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011022001 is an equidigital number, since it uses as much as digits as its factorization.

100110011022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110011022001 its reverse (100220110011001), we get a palindrome (200330121033002).

The spelling of 100110011022001 in words is "one hundred trillion, one hundred ten billion, eleven million, twenty-two thousand, one".