100121011110211 has 16 divisors (see below), whose sum is σ = 123228214965184. Its totient is φ = 79215110158464.

The previous prime is 100121011110193. The next prime is 100121011110251. The reversal of 100121011110211 is 112011110121001.

It is not a de Polignac number, because 100121011110211 - 2¹¹ = 100121011108163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100121011110191 and 100121011110200.

It is not an unprimeable number, because it can be changed into a prime (100121011110251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5714556 + ... + 15261001.

It is an arithmetic number, because the mean of its divisors is an integer number (7701763435324).

Almost surely, 2^{100121011110211} is an apocalyptic number.

100121011110211 is a deficient number, since it is larger than the sum of its proper divisors (23107203854973).

100121011110211 is a wasteful number, since it uses less digits than its factorization.

100121011110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028030.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100121011110211 its reverse (112011110121001), we get a palindrome (212132121231212).

The spelling of 100121011110211 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, one hundred ten thousand, two hundred eleven".