10051101100099 has 32 divisors (see below), whose sum is σ = 10328659323840. Its totient is φ = 9777217562112.

The previous prime is 10051101100063. The next prime is 10051101100133. The reversal of 10051101100099 is 99000110115001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10051101100099 - 2⁴³ = 1255008077891 is a prime.

It is a super-2 number, since 2×10051101100099² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10051101100039) 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 31 ways as a sum of consecutive naturals, for example, 5383556164 + ... + 5383558030.

It is an arithmetic number, because the mean of its divisors is an integer number (322770603870).

Almost surely, 2^{10051101100099} is an apocalyptic number.

10051101100099 is a deficient number, since it is larger than the sum of its proper divisors (277558223741).

10051101100099 is a wasteful number, since it uses less digits than its factorization.

10051101100099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639.

The product of its (nonzero) digits is 405, while the sum is 28.

The spelling of 10051101100099 in words is "ten trillion, fifty-one billion, one hundred one million, one hundred thousand, ninety-nine".