10022010101 has 2 divisors, whose sum is σ = 10022010102. Its totient is φ = 10022010100.

The previous prime is 10022010083. The next prime is 10022010109. The reversal of 10022010101 is 10101022001.

It is an a-pointer prime, because the next prime (10022010109) can be obtained adding 10022010101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8483331025 + 1538679076 = 92105^2 + 39226^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022010101 - 2¹⁴ = 10021993717 is a prime.

It is a Sophie Germain prime.

10022010101 is a modest number, since divided by 10101 gives 10022 as remainder.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022010109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011005050 + 5011005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5011005051).

Almost surely, 2^10022010101 is an apocalyptic number.

It is an amenable number.

10022010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022010101 is an equidigital number, since it uses as much as digits as its factorization.

10022010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10022010101 its reverse (10101022001), we get a palindrome (20123032102).

The spelling of 10022010101 in words is "ten billion, twenty-two million, ten thousand, one hundred one".