101221200112121 has 2 divisors, whose sum is σ = 101221200112122. Its totient is φ = 101221200112120.

The previous prime is 101221200112117. The next prime is 101221200112141. The reversal of 101221200112121 is 121211002122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60551742250000 + 40669457862121 = 7781500^2 + 6377261^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221200112121 - 2² = 101221200112117 is a prime.

It is a super-2 number, since 2×101221200112121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101221200112121.

It is not a weakly prime, because it can be changed into another prime (101221200112141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610600056060 + 50610600056061.

It is an arithmetic number, because the mean of its divisors is an integer number (50610600056061).

Almost surely, 2^{101221200112121} is an apocalyptic number.

It is an amenable number.

101221200112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221200112121 is an equidigital number, since it uses as much as digits as its factorization.

101221200112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101221200112121 its reverse (121211002122101), we get a palindrome (222432202234222).

The spelling of 101221200112121 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, one hundred twelve thousand, one hundred twenty-one".