10022002122101 has 2 divisors, whose sum is σ = 10022002122102. Its totient is φ = 10022002122100.

The previous prime is 10022002122053. The next prime is 10022002122137. The reversal of 10022002122101 is 10122120022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8877688407025 + 1144313715076 = 2979545^2 + 1069726^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022002122101 - 2⁶ = 10022002122037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022002122151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011001061050 + 5011001061051.

It is an arithmetic number, because the mean of its divisors is an integer number (5011001061051).

Almost surely, 2^{10022002122101} is an apocalyptic number.

It is an amenable number.

10022002122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022002122101 is an equidigital number, since it uses as much as digits as its factorization.

10022002122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022002122101 its reverse (10122120022001), we get a palindrome (20144122144102).

The spelling of 10022002122101 in words is "ten trillion, twenty-two billion, two million, one hundred twenty-two thousand, one hundred one".