101110100010093 has 24 divisors (see below), whose sum is σ = 149156429580288. Its totient is φ = 65972058888672.

The previous prime is 101110100010089. The next prime is 101110100010103. The reversal of 101110100010093 is 390010001011101.

It is not a de Polignac number, because 101110100010093 - 2² = 101110100010089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110100010893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61480671 + ... + 63103827.

It is an arithmetic number, because the mean of its divisors is an integer number (6214851232512).

Almost surely, 2^{101110100010093} is an apocalyptic number.

It is an amenable number.

101110100010093 is a deficient number, since it is larger than the sum of its proper divisors (48046329570195).

101110100010093 is a wasteful number, since it uses less digits than its factorization.

101110100010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770473 (or 1770470 counting only the distinct ones).

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

Adding to 101110100010093 its reverse (390010001011101), we get a palindrome (491120101021194).

The spelling of 101110100010093 in words is "one hundred one trillion, one hundred ten billion, one hundred million, ten thousand, ninety-three".