100001020101077 has 2 divisors, whose sum is σ = 100001020101078. Its totient is φ = 100001020101076.

The previous prime is 100001020100987. The next prime is 100001020101097. The reversal of 100001020101077 is 770101020100001.

It is an a-pointer prime, because the next prime (100001020101097) can be obtained adding 100001020101077 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85900161478756 + 14100858622321 = 9268234^2 + 3755111^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001020101077 - 2¹⁶ = 100001020035541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001020101097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000510050538 + 50000510050539.

It is an arithmetic number, because the mean of its divisors is an integer number (50000510050539).

Almost surely, 2^{100001020101077} is an apocalyptic number.

It is an amenable number.

100001020101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001020101077 is an equidigital number, since it uses as much as digits as its factorization.

100001020101077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 20.

Adding to 100001020101077 its reverse (770101020100001), we get a palindrome (870102040201078).

The spelling of 100001020101077 in words is "one hundred trillion, one billion, twenty million, one hundred one thousand, seventy-seven".