100101000011221 has 16 divisors (see below), whose sum is σ = 112906403440128. Its totient is φ = 87922664121600.

The previous prime is 100101000011213. The next prime is 100101000011251. The reversal of 100101000011221 is 122110000101001.

It is not a de Polignac number, because 100101000011221 - 2³ = 100101000011213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101000011198 and 100101000011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000011251) 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, 237675600 + ... + 238096393.

It is an arithmetic number, because the mean of its divisors is an integer number (7056650215008).

Almost surely, 2^{100101000011221} is an apocalyptic number.

100101000011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101000011221 is a deficient number, since it is larger than the sum of its proper divisors (12805403428907).

100101000011221 is a wasteful number, since it uses less digits than its factorization.

100101000011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475772652.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101000011221 its reverse (122110000101001), we get a palindrome (222211000112222).

The spelling of 100101000011221 in words is "one hundred trillion, one hundred one billion, eleven thousand, two hundred twenty-one".