100001010000221 has 12 divisors (see below), whose sum is σ = 111559039658976. Its totient is φ = 89553143276520.

The previous prime is 100001010000211. The next prime is 100001010000223. The reversal of 100001010000221 is 122000010100001.

It is a de Polignac number, because none of the positive numbers 2^k-100001010000221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001010000199 and 100001010000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010000223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6167563745 + ... + 6167579958.

It is an arithmetic number, because the mean of its divisors is an integer number (9296586638248).

Almost surely, 2^{100001010000221} is an apocalyptic number.

100001010000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001010000221 is a deficient number, since it is larger than the sum of its proper divisors (11558029658755).

100001010000221 is a wasteful number, since it uses less digits than its factorization.

100001010000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335143792 (or 12335143781 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001010000221 its reverse (122000010100001), we get a palindrome (222001020100222).

The spelling of 100001010000221 in words is "one hundred trillion, one billion, ten million, two hundred twenty-one", and thus it is an aban number.