100110010001106 has 48 divisors (see below), whose sum is σ = 240422196522240. Its totient is φ = 27680187094560.

The previous prime is 100110010001039. The next prime is 100110010001119. The reversal of 100110010001106 is 601100010011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110010001091 and 100110010001100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5492091501 + ... + 5492109728.

It is an arithmetic number, because the mean of its divisors is an integer number (5008795760880).

Almost surely, 2^{100110010001106} is an apocalyptic number.

100110010001106 is an abundant number, since it is smaller than the sum of its proper divisors (140312186521134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110010001106 is a wasteful number, since it uses less digits than its factorization.

100110010001106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984201279 (or 10984201272 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100110010001106 its reverse (601100010011001), we get a palindrome (701210020012107).

The spelling of 100110010001106 in words is "one hundred trillion, one hundred ten billion, ten million, one thousand, one hundred six".