100202221110001 has 2 divisors, whose sum is σ = 100202221110002. Its totient is φ = 100202221110000.

The previous prime is 100202221109971. The next prime is 100202221110031. The reversal of 100202221110001 is 100011122202001.

It is a balanced prime because it is at equal distance from previous prime (100202221109971) and next prime (100202221110031).

It can be written as a sum of positive squares in only one way, i.e., 83509897640625 + 16692323469376 = 9138375^2 + 4085624^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202221110001 - 2¹¹ = 100202221107953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100202221110031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101110555000 + 50101110555001.

It is an arithmetic number, because the mean of its divisors is an integer number (50101110555001).

Almost surely, 2^{100202221110001} is an apocalyptic number.

It is an amenable number.

100202221110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202221110001 is an equidigital number, since it uses as much as digits as its factorization.

100202221110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202221110001 its reverse (100011122202001), we get a palindrome (200213343312002).

The spelling of 100202221110001 in words is "one hundred trillion, two hundred two billion, two hundred twenty-one million, one hundred ten thousand, one".