10100220220221 has 16 divisors (see below), whose sum is σ = 13902547192320. Its totient is φ = 6515723223360.

The previous prime is 10100220220193. The next prime is 10100220220229. The reversal of 10100220220221 is 12202202200101.

10100220220221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100220220221 - 2¹⁰ = 10100220219197 is a prime.

It is a super-2 number, since 2×10100220220221² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100220220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100220220229) 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, 3452230 + ... + 5667303.

It is an arithmetic number, because the mean of its divisors is an integer number (868909199520).

Almost surely, 2^{10100220220221} is an apocalyptic number.

It is an amenable number.

10100220220221 is a deficient number, since it is larger than the sum of its proper divisors (3802326972099).

10100220220221 is a wasteful number, since it uses less digits than its factorization.

10100220220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131476.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10100220220221 its reverse (12202202200101), we get a palindrome (22302422420322).

The spelling of 10100220220221 in words is "ten trillion, one hundred billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty-one".