100010601077 has 2 divisors, whose sum is σ = 100010601078. Its totient is φ = 100010601076.

The previous prime is 100010601037. The next prime is 100010601079. The reversal of 100010601077 is 770106010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97019167441 + 2991433636 = 311479^2 + 54694^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010601077 - 2²⁶ = 99943492213 is a prime.

Together with 100010601079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010601079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005300538 + 50005300539.

It is an arithmetic number, because the mean of its divisors is an integer number (50005300539).

Almost surely, 2^100010601077 is an apocalyptic number.

It is an amenable number.

100010601077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010601077 is an equidigital number, since it uses as much as digits as its factorization.

100010601077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 23.

Adding to 100010601077 its reverse (770106010001), we get a palindrome (870116611078).

The spelling of 100010601077 in words is "one hundred billion, ten million, six hundred one thousand, seventy-seven".