10000010111221 has 16 divisors (see below), whose sum is σ = 10810385308800. Its totient is φ = 9195562381248.

The previous prime is 10000010111183. The next prime is 10000010111251. The reversal of 10000010111221 is 12211101000001.

It is a cyclic number.

It is not a de Polignac number, because 10000010111221 - 2¹⁵ = 10000010078453 is a prime.

It is a super-2 number, since 2×10000010111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000010111198 and 10000010111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000010111251) 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, 3785400 + ... + 5859118.

It is an arithmetic number, because the mean of its divisors is an integer number (675649081800).

Almost surely, 2^{10000010111221} is an apocalyptic number.

It is an amenable number.

10000010111221 is a deficient number, since it is larger than the sum of its proper divisors (810375197579).

10000010111221 is a wasteful number, since it uses less digits than its factorization.

10000010111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075148.

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

Adding to 10000010111221 its reverse (12211101000001), we get a palindrome (22211111111222).

The spelling of 10000010111221 in words is "ten trillion, ten million, one hundred eleven thousand, two hundred twenty-one".