101012122201061 has 2 divisors, whose sum is σ = 101012122201062. Its totient is φ = 101012122201060.

The previous prime is 101012122201043. The next prime is 101012122201103. The reversal of 101012122201061 is 160102221210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91287896980900 + 9724225220161 = 9554470^2 + 3118369^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012122201061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012122201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506061100530 + 50506061100531.

It is an arithmetic number, because the mean of its divisors is an integer number (50506061100531).

Almost surely, 2^{101012122201061} is an apocalyptic number.

It is an amenable number.

101012122201061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012122201061 is an equidigital number, since it uses as much as digits as its factorization.

101012122201061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101012122201061 its reverse (160102221210101), we get a palindrome (261114343411162).

The spelling of 101012122201061 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred one thousand, sixty-one".