20100101221121 has 6 divisors (see below), whose sum is σ = 20404580370930. Its totient is φ = 19800099705936.

The previous prime is 20100101221087. The next prime is 20100101221147. The reversal of 20100101221121 is 12112210100102.

It can be written as a sum of positive squares in only one way, i.e., 16448791715521 + 3651309505600 = 4055711^2 + 1910840^2 .

It is not a de Polignac number, because 20100101221121 - 2¹⁴ = 20100101204737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100101221096 and 20100101221105.

It is not an unprimeable number, because it can be changed into a prime (20100101221021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2238812756 + ... + 2238821733.

It is an arithmetic number, because the mean of its divisors is an integer number (3400763395155).

Almost surely, 2^{20100101221121} is an apocalyptic number.

It is an amenable number.

20100101221121 is a deficient number, since it is larger than the sum of its proper divisors (304479149809).

20100101221121 is an frugal number, since it uses more digits than its factorization.

20100101221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477634623 (or 4477634556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20100101221121 its reverse (12112210100102), we get a palindrome (32212311321223).

The spelling of 20100101221121 in words is "twenty trillion, one hundred billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".