10000012099977 has 36 divisors (see below), whose sum is σ = 15422006698956. Its totient is φ = 6242666734080.

The previous prime is 10000012099951. The next prime is 10000012099993. The reversal of 10000012099977 is 77999021000001.

It can be written as a sum of positive squares in 6 ways, for example, as 1717910897481 + 8282101202496 = 1310691^2 + 2877864^2 .

It is not a de Polignac number, because 10000012099977 - 2²⁴ = 9999995322761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000012094977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9245674 + ... + 10270467.

It is an arithmetic number, because the mean of its divisors is an integer number (428389074971).

Almost surely, 2^{10000012099977} is an apocalyptic number.

10000012099977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10000012099977 is a deficient number, since it is larger than the sum of its proper divisors (5421994598979).

10000012099977 is a wasteful number, since it uses less digits than its factorization.

10000012099977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19516378 (or 19516358 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

Adding to 10000012099977 its reverse (77999021000001), we get a palindrome (87999033099978).

The spelling of 10000012099977 in words is "ten trillion, twelve million, ninety-nine thousand, nine hundred seventy-seven".