10002067877 has 2 divisors, whose sum is σ = 10002067878. Its totient is φ = 10002067876.

The previous prime is 10002067769. The next prime is 10002067879. The reversal of 10002067877 is 77876020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9200838241 + 801229636 = 95921^2 + 28306^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002067877 - 2³⁰ = 8928326053 is a prime.

It is a super-2 number, since 2×10002067877² (a number of 21 digits) contains 22 as substring.

Together with 10002067879, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002067877.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002067879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001033938 + 5001033939.

It is an arithmetic number, because the mean of its divisors is an integer number (5001033939).

Almost surely, 2^10002067877 is an apocalyptic number.

It is an amenable number.

10002067877 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002067877 is an equidigital number, since it uses as much as digits as its factorization.

10002067877 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32928, while the sum is 38.

Adding to 10002067877 its reverse (77876020001), we get a palindrome (87878087878).

The spelling of 10002067877 in words is "ten billion, two million, sixty-seven thousand, eight hundred seventy-seven".