10005051055101 has 32 divisors (see below), whose sum is σ = 15048725514240. Its totient is φ = 5880883466304.

The previous prime is 10005051055099. The next prime is 10005051055117. The reversal of 10005051055101 is 10155015050001.

It is not a de Polignac number, because 10005051055101 - 2¹ = 10005051055099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005051051101) 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, 103081465 + ... + 103178478.

It is an arithmetic number, because the mean of its divisors is an integer number (470272672320).

Almost surely, 2^{10005051055101} is an apocalyptic number.

It is an amenable number.

10005051055101 is a deficient number, since it is larger than the sum of its proper divisors (5043674459139).

10005051055101 is a wasteful number, since it uses less digits than its factorization.

10005051055101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206260025.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 10005051055101 in words is "ten trillion, five billion, fifty-one million, fifty-five thousand, one hundred one".