10100002020077 has 2 divisors, whose sum is σ = 10100002020078. Its totient is φ = 10100002020076.

The previous prime is 10100002020049. The next prime is 10100002020131. The reversal of 10100002020077 is 77002020000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5203389836836 + 4896612183241 = 2281094^2 + 2212829^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100002020077 - 2¹² = 10100002015981 is a prime.

It is a super-2 number, since 2×10100002020077² (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 (10100002020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001010038 + 5050001010039.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001010039).

Almost surely, 2^{10100002020077} is an apocalyptic number.

It is an amenable number.

10100002020077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100002020077 is an equidigital number, since it uses as much as digits as its factorization.

10100002020077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 20.

Adding to 10100002020077 its reverse (77002020000101), we get a palindrome (87102022020178).

The spelling of 10100002020077 in words is "ten trillion, one hundred billion, two million, twenty thousand, seventy-seven".