101022111010201 has 2 divisors, whose sum is σ = 101022111010202. Its totient is φ = 101022111010200.

The previous prime is 101022111010189. The next prime is 101022111010229. The reversal of 101022111010201 is 102010111220101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96797951574025 + 4224159436176 = 9838595^2 + 2055276^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022111010201 - 2¹³ = 101022111002009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022111010801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511055505100 + 50511055505101.

It is an arithmetic number, because the mean of its divisors is an integer number (50511055505101).

Almost surely, 2^{101022111010201} is an apocalyptic number.

It is an amenable number.

101022111010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022111010201 is an equidigital number, since it uses as much as digits as its factorization.

101022111010201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101022111010201 its reverse (102010111220101), we get a palindrome (203032222230302).

The spelling of 101022111010201 in words is "one hundred one trillion, twenty-two billion, one hundred eleven million, ten thousand, two hundred one".