101119957777 has 2 divisors, whose sum is σ = 101119957778. Its totient is φ = 101119957776.

The previous prime is 101119957759. The next prime is 101119957811. The reversal of 101119957777 is 777759911101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98118671121 + 3001286656 = 313239^2 + 54784^2 .

It is a cyclic number.

It is not a de Polignac number, because 101119957777 - 2⁷ = 101119957649 is a prime.

It is not a weakly prime, because it can be changed into another prime (101119957717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50559978888 + 50559978889.

It is an arithmetic number, because the mean of its divisors is an integer number (50559978889).

Almost surely, 2^101119957777 is an apocalyptic number.

It is an amenable number.

101119957777 is a deficient number, since it is larger than the sum of its proper divisors (1).

101119957777 is an equidigital number, since it uses as much as digits as its factorization.

101119957777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972405, while the sum is 55.

The spelling of 101119957777 in words is "one hundred one billion, one hundred nineteen million, nine hundred fifty-seven thousand, seven hundred seventy-seven".