10022012210101 has 2 divisors, whose sum is σ = 10022012210102. Its totient is φ = 10022012210100.

The previous prime is 10022012210047. The next prime is 10022012210117. The reversal of 10022012210101 is 10101221022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5860926274225 + 4161085935876 = 2420935^2 + 2039874^2 .

It is an emirp because it is prime and its reverse (10101221022001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022012210101 - 2¹³ = 10022012201909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022012210401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011006105050 + 5011006105051.

It is an arithmetic number, because the mean of its divisors is an integer number (5011006105051).

Almost surely, 2^{10022012210101} is an apocalyptic number.

It is an amenable number.

10022012210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022012210101 is an equidigital number, since it uses as much as digits as its factorization.

10022012210101 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 10022012210101 its reverse (10101221022001), we get a palindrome (20123233232102).

The spelling of 10022012210101 in words is "ten trillion, twenty-two billion, twelve million, two hundred ten thousand, one hundred one".