100221220010101 has 16 divisors (see below), whose sum is σ = 104671261601280. Its totient is φ = 95848386543360.

The previous prime is 100221220010069. The next prime is 100221220010123. The reversal of 100221220010101 is 101010022122001.

It is a cyclic number.

It is not a de Polignac number, because 100221220010101 - 2⁵ = 100221220010069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221221010101) 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, 4216335 + ... + 14772268.

It is an arithmetic number, because the mean of its divisors is an integer number (6541953850080).

Almost surely, 2^{100221220010101} is an apocalyptic number.

It is an amenable number.

100221220010101 is a deficient number, since it is larger than the sum of its proper divisors (4450041591179).

100221220010101 is a wasteful number, since it uses less digits than its factorization.

100221220010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990636.

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

Adding to 100221220010101 its reverse (101010022122001), we get a palindrome (201231242132102).

The spelling of 100221220010101 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty million, ten thousand, one hundred one".