101022012202061 has 2 divisors, whose sum is σ = 101022012202062. Its totient is φ = 101022012202060.

The previous prime is 101022012202009. The next prime is 101022012202087. The reversal of 101022012202061 is 160202210220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77995498228036 + 23026513974025 = 8831506^2 + 4798595^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022012202061 - 2²² = 101022008007757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022012202091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511006101030 + 50511006101031.

It is an arithmetic number, because the mean of its divisors is an integer number (50511006101031).

Almost surely, 2^{101022012202061} is an apocalyptic number.

It is an amenable number.

101022012202061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022012202061 is an equidigital number, since it uses as much as digits as its factorization.

101022012202061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101022012202061 its reverse (160202210220101), we get a palindrome (261224222422162).

The spelling of 101022012202061 in words is "one hundred one trillion, twenty-two billion, twelve million, two hundred two thousand, sixty-one".