100120000011093 has 56 divisors (see below), whose sum is σ = 151236378655128. Its totient is φ = 66246605816832.

The previous prime is 100120000011047. The next prime is 100120000011121. The reversal of 100120000011093 is 390110000021001.

It can be written as a sum of positive squares in 4 ways, for example, as 61792286691249 + 38327713319844 = 7860807^2 + 6190938^2 .

It is not a de Polignac number, because 100120000011093 - 2⁸ = 100120000010837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120000011023) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 528932655 + ... + 529121907.

Almost surely, 2^{100120000011093} is an apocalyptic number.

It is an amenable number.

100120000011093 is a deficient number, since it is larger than the sum of its proper divisors (51116378644035).

100120000011093 is an equidigital number, since it uses as much as digits as its factorization.

100120000011093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194705 (or 194690 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100120000011093 its reverse (390110000021001), we get a palindrome (490230000032094).

The spelling of 100120000011093 in words is "one hundred trillion, one hundred twenty billion, eleven thousand, ninety-three".