10002122202077 has 2 divisors, whose sum is σ = 10002122202078. Its totient is φ = 10002122202076.

The previous prime is 10002122202049. The next prime is 10002122202143. The reversal of 10002122202077 is 77020222120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8470829799961 + 1531292402116 = 2910469^2 + 1237454^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002122202077 - 2³⁰ = 10001048460253 is a prime.

It is a super-2 number, since 2×10002122202077² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002122202577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001061101038 + 5001061101039.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061101039).

Almost surely, 2^{10002122202077} is an apocalyptic number.

It is an amenable number.

10002122202077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002122202077 is an equidigital number, since it uses as much as digits as its factorization.

10002122202077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1568, while the sum is 26.

Adding to 10002122202077 its reverse (77020222120001), we get a palindrome (87022344322078).

The spelling of 10002122202077 in words is "ten trillion, two billion, one hundred twenty-two million, two hundred two thousand, seventy-seven".