10011100101009 has 32 divisors (see below), whose sum is σ = 16067039938560. Its totient is φ = 5420766312192.

The previous prime is 10011100100977. The next prime is 10011100101043. The reversal of 10011100101009 is 90010100111001.

It is not a de Polignac number, because 10011100101009 - 2⁵ = 10011100100977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011100109009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96803064 + ... + 96906425.

It is an arithmetic number, because the mean of its divisors is an integer number (502094998080).

Almost surely, 2^{10011100101009} is an apocalyptic number.

It is an amenable number.

10011100101009 is a deficient number, since it is larger than the sum of its proper divisors (6055939837551).

10011100101009 is a wasteful number, since it uses less digits than its factorization.

10011100101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193709629.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10011100101009 in words is "ten trillion, eleven billion, one hundred million, one hundred one thousand, nine".