101110010100093 has 48 divisors (see below), whose sum is σ = 151486918502400. Its totient is φ = 64908910953600.

The previous prime is 101110010100083. The next prime is 101110010100119. The reversal of 101110010100093 is 390001010011101.

It is not a de Polignac number, because 101110010100093 - 2⁵ = 101110010100061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010100083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167026798 + ... + 167631056.

It is an arithmetic number, because the mean of its divisors is an integer number (3155977468800).

Almost surely, 2^{101110010100093} is an apocalyptic number.

It is an amenable number.

101110010100093 is a deficient number, since it is larger than the sum of its proper divisors (50376908402307).

101110010100093 is a wasteful number, since it uses less digits than its factorization.

101110010100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606002 (or 605999 counting only the distinct ones).

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

Adding to 101110010100093 its reverse (390001010011101), we get a palindrome (491111020111194).

The spelling of 101110010100093 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred thousand, ninety-three".