10155540101 has 16 divisors (see below), whose sum is σ = 11688345600. Its totient is φ = 8643338928.

The previous prime is 10155540091. The next prime is 10155540103. The reversal of 10155540101 is 10104555101.

10155540101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10155540101 - 2¹⁰ = 10155539077 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 (10155540103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455860 + ... + 1462818.

It is an arithmetic number, because the mean of its divisors is an integer number (730521600).

Almost surely, 2^10155540101 is an apocalyptic number.

It is an amenable number.

10155540101 is a deficient number, since it is larger than the sum of its proper divisors (1532805499).

10155540101 is a wasteful number, since it uses less digits than its factorization.

10155540101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408.

The product of its (nonzero) digits is 500, while the sum is 23.

The spelling of 10155540101 in words is "ten billion, one hundred fifty-five million, five hundred forty thousand, one hundred one".