20100221120101 has 16 divisors (see below), whose sum is σ = 20486294262000. Its totient is φ = 19715999616000.

The previous prime is 20100221120053. The next prime is 20100221120123. The reversal of 20100221120101 is 10102112200102.

It can be written as a sum of positive squares in 8 ways, for example, as 1904869228900 + 18195351891201 = 1380170^2 + 4265601^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100221120101 - 2⁷ = 20100221119973 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 (20100221120201) 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, 90615075 + ... + 90836623.

It is an arithmetic number, because the mean of its divisors is an integer number (1280393391375).

Almost surely, 2^{20100221120101} is an apocalyptic number.

It is an amenable number.

20100221120101 is a deficient number, since it is larger than the sum of its proper divisors (386073141899).

20100221120101 is a wasteful number, since it uses less digits than its factorization.

20100221120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225720.

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

Adding to 20100221120101 its reverse (10102112200102), we get a palindrome (30202333320203).

The spelling of 20100221120101 in words is "twenty trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred one".