101010100101093 has 40 divisors (see below), whose sum is σ = 151464998716416. Its totient is φ = 67084238037600.

The previous prime is 101010100101089. The next prime is 101010100101149. The reversal of 101010100101093 is 390101001010101.

It is not a de Polignac number, because 101010100101093 - 2² = 101010100101089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010110101093) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204138655 + ... + 204632867.

Almost surely, 2^{101010100101093} is an apocalyptic number.

It is an amenable number.

101010100101093 is a deficient number, since it is larger than the sum of its proper divisors (50454898615323).

101010100101093 is an equidigital number, since it uses as much as digits as its factorization.

101010100101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503807 (or 503798 counting only the distinct ones).

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

Adding to 101010100101093 its reverse (390101001010101), we get a palindrome (491111101111194).

The spelling of 101010100101093 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, ninety-three".