100110121022011 has 16 divisors (see below), whose sum is σ = 101909882439360. Its totient is φ = 98315499934080.

The previous prime is 100110121021997. The next prime is 100110121022029. The reversal of 100110121022011 is 110220121011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100110121022011 - 2⁵ = 100110121021979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110121021982 and 100110121022000.

It is not an unprimeable number, because it can be changed into a prime (100110121322011) 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, 542013385 + ... + 542198053.

It is an arithmetic number, because the mean of its divisors is an integer number (6369367652460).

Almost surely, 2^{100110121022011} is an apocalyptic number.

100110121022011 is a deficient number, since it is larger than the sum of its proper divisors (1799761417349).

100110121022011 is a wasteful number, since it uses less digits than its factorization.

100110121022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198534.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100110121022011 its reverse (110220121011001), we get a palindrome (210330242033012).

The spelling of 100110121022011 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, twenty-two thousand, eleven".