10100221112221 has 16 divisors (see below), whose sum is σ = 10242800164800. Its totient is φ = 9958859424000.

The previous prime is 10100221112209. The next prime is 10100221112227. The reversal of 10100221112221 is 12221112200101.

It is a cyclic number.

It is not a de Polignac number, because 10100221112221 - 2¹¹ = 10100221110173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100221112195 and 10100221112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221112227) 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, 12368586 + ... + 13159876.

It is an arithmetic number, because the mean of its divisors is an integer number (640175010300).

Almost surely, 2^{10100221112221} is an apocalyptic number.

It is an amenable number.

10100221112221 is a deficient number, since it is larger than the sum of its proper divisors (142579052579).

10100221112221 is a wasteful number, since it uses less digits than its factorization.

10100221112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792060.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10100221112221 its reverse (12221112200101), we get a palindrome (22321333312322).

The spelling of 10100221112221 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".