10005001161111 has 24 divisors (see below), whose sum is σ = 15767263424640. Its totient is φ = 6062942048400.

The previous prime is 10005001161061. The next prime is 10005001161149. The reversal of 10005001161111 is 11116110050001.

It is a happy number.

10005001161111 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 50 + 0 + 1 + 1 + 611 + 1 + 1 = 666.

It is not a de Polignac number, because 10005001161111 - 2¹⁴ = 10005001144727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005001161151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4923091 + ... + 6651828.

It is an arithmetic number, because the mean of its divisors is an integer number (656969309360).

Almost surely, 2^{10005001161111} is an apocalyptic number.

10005001161111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10005001161111 is a deficient number, since it is larger than the sum of its proper divisors (5762262263529).

10005001161111 is a wasteful number, since it uses less digits than its factorization.

10005001161111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583667 (or 11583664 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 10005001161111 in words is "ten trillion, five billion, one million, one hundred sixty-one thousand, one hundred eleven".