100110110011021 has 16 divisors (see below), whose sum is σ = 111062950063488. Its totient is φ = 89473185894400.

The previous prime is 100110110011007. The next prime is 100110110011027. The reversal of 100110110011021 is 120110011011001.

It is not a de Polignac number, because 100110110011021 - 2⁷ = 100110110010893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110110010989 and 100110110011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110110011027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181285156 + ... + 181836541.

It is an arithmetic number, because the mean of its divisors is an integer number (6941434378968).

Almost surely, 2^{100110110011021} is an apocalyptic number.

100110110011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110110011021 is a deficient number, since it is larger than the sum of its proper divisors (10952840052467).

100110110011021 is a wasteful number, since it uses less digits than its factorization.

100110110011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363122132.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100110110011021 its reverse (120110011011001), we get a palindrome (220220121022022).

The spelling of 100110110011021 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, eleven thousand, twenty-one".