10001199977 has 8 divisors (see below), whose sum is σ = 10644377256. Its totient is φ = 9364119552.

The previous prime is 10001199961. The next prime is 10001200057. The reversal of 10001199977 is 77999110001.

10001199977 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2139895081 + 7861304896 = 46259^2 + 88664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001199977 - 2⁴ = 10001199961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001189977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520828 + ... + 1527389.

It is an arithmetic number, because the mean of its divisors is an integer number (1330547157).

Almost surely, 2^10001199977 is an apocalyptic number.

10001199977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10001199977 is a deficient number, since it is larger than the sum of its proper divisors (643177279).

10001199977 is a wasteful number, since it uses less digits than its factorization.

10001199977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048427.

The product of its (nonzero) digits is 35721, while the sum is 44.

The spelling of 10001199977 in words is "ten billion, one million, one hundred ninety-nine thousand, nine hundred seventy-seven".