10100110220221 has 16 divisors (see below), whose sum is σ = 11593872695808. Its totient is φ = 8619122332800.

The previous prime is 10100110220201. The next prime is 10100110220257. The reversal of 10100110220221 is 12202201100101.

It is not a de Polignac number, because 10100110220221 - 2³³ = 10091520285629 is a prime.

It is a super-2 number, since 2×10100110220221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149116 + ... + 4496938.

It is an arithmetic number, because the mean of its divisors is an integer number (724617043488).

Almost surely, 2^{10100110220221} is an apocalyptic number.

It is an amenable number.

10100110220221 is a deficient number, since it is larger than the sum of its proper divisors (1493762475587).

10100110220221 is a wasteful number, since it uses less digits than its factorization.

10100110220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349292.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100110220221 its reverse (12202201100101), we get a palindrome (22302311320322).

The spelling of 10100110220221 in words is "ten trillion, one hundred billion, one hundred ten million, two hundred twenty thousand, two hundred twenty-one".