101012022200101 has 2 divisors, whose sum is σ = 101012022200102. Its totient is φ = 101012022200100.

The previous prime is 101012022199999. The next prime is 101012022200129. The reversal of 101012022200101 is 101002220210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58688852548225 + 42323169651876 = 7660865^2 + 6505626^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012022200101 - 2⁷ = 101012022199973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012022200171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506011100050 + 50506011100051.

It is an arithmetic number, because the mean of its divisors is an integer number (50506011100051).

Almost surely, 2^{101012022200101} is an apocalyptic number.

It is an amenable number.

101012022200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012022200101 is an equidigital number, since it uses as much as digits as its factorization.

101012022200101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101012022200101 its reverse (101002220210101), we get a palindrome (202014242410202).

The spelling of 101012022200101 in words is "one hundred one trillion, twelve billion, twenty-two million, two hundred thousand, one hundred one".