101001101100093 has 24 divisors (see below), whose sum is σ = 146106486596928. Its totient is φ = 67234433882112.

The previous prime is 101001101100017. The next prime is 101001101100103. The reversal of 101001101100093 is 390001101100101.

It is not a de Polignac number, because 101001101100093 - 2²² = 101001096905789 is a prime.

It is a super-3 number, since 3×101001101100093³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101100793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16933821 + ... + 22107837.

It is an arithmetic number, because the mean of its divisors is an integer number (6087770274872).

Almost surely, 2^{101001101100093} is an apocalyptic number.

It is an amenable number.

101001101100093 is a deficient number, since it is larger than the sum of its proper divisors (45105385496835).

101001101100093 is a wasteful number, since it uses less digits than its factorization.

101001101100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177233 (or 5177230 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 101001101100093 its reverse (390001101100101), we get a palindrome (491002202200194).

The spelling of 101001101100093 in words is "one hundred one trillion, one billion, one hundred one million, one hundred thousand, ninety-three".