10010514216777 has 32 divisors (see below), whose sum is σ = 13507908710400. Its totient is φ = 6593959120320.

The previous prime is 10010514216763. The next prime is 10010514216853. The reversal of 10010514216777 is 77761241501001.

It is not a de Polignac number, because 10010514216777 - 2³⁴ = 9993334347593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010514216707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67627348 + ... + 67775210.

It is an arithmetic number, because the mean of its divisors is an integer number (422122147200).

Almost surely, 2^{10010514216777} is an apocalyptic number.

It is an amenable number.

10010514216777 is a deficient number, since it is larger than the sum of its proper divisors (3497394493623).

10010514216777 is a wasteful number, since it uses less digits than its factorization.

10010514216777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148813.

The product of its (nonzero) digits is 82320, while the sum is 42.

Adding to 10010514216777 its reverse (77761241501001), we get a palindrome (87771755717778).

The spelling of 10010514216777 in words is "ten trillion, ten billion, five hundred fourteen million, two hundred sixteen thousand, seven hundred seventy-seven".