101111009477557 has 2 divisors, whose sum is σ = 101111009477558. Its totient is φ = 101111009477556.

The previous prime is 101111009477531. The next prime is 101111009477563. The reversal of 101111009477557 is 755774900111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100646922902436 + 464086575121 = 10032294^2 + 681239^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111009477557 - 2²³ = 101111001088949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111009477557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111009477507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555504738778 + 50555504738779.

It is an arithmetic number, because the mean of its divisors is an integer number (50555504738779).

Almost surely, 2^{101111009477557} is an apocalyptic number.

It is an amenable number.

101111009477557 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111009477557 is an equidigital number, since it uses as much as digits as its factorization.

101111009477557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 308700, while the sum is 49.

Adding to 101111009477557 its reverse (755774900111101), we get a palindrome (856885909588658).

The spelling of 101111009477557 in words is "one hundred one trillion, one hundred eleven billion, nine million, four hundred seventy-seven thousand, five hundred fifty-seven".