10009186409101 has 32 divisors (see below), whose sum is σ = 11546240090112. Its totient is φ = 8587927138560.

The previous prime is 10009186409099. The next prime is 10009186409273. The reversal of 10009186409101 is 10190468190001.

It is not a de Polignac number, because 10009186409101 - 2¹ = 10009186409099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009186406101) 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, 5590356 + ... + 7160338.

It is an arithmetic number, because the mean of its divisors is an integer number (360820002816).

Almost surely, 2^{10009186409101} is an apocalyptic number.

10009186409101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10009186409101 is a deficient number, since it is larger than the sum of its proper divisors (1537053681011).

10009186409101 is a wasteful number, since it uses less digits than its factorization.

10009186409101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570353.

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 10009186409101 in words is "ten trillion, nine billion, one hundred eighty-six million, four hundred nine thousand, one hundred one".