101102022111221 has 2 divisors, whose sum is σ = 101102022111222. Its totient is φ = 101102022111220.

The previous prime is 101102022111203. The next prime is 101102022111241. The reversal of 101102022111221 is 122111220201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90436010746225 + 10666011364996 = 9509785^2 + 3265886^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102022111221 - 2⁶ = 101102022111157 is a prime.

It is a super-3 number, since 3×101102022111221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102022111221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102022111241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551011055610 + 50551011055611.

It is an arithmetic number, because the mean of its divisors is an integer number (50551011055611).

Almost surely, 2^{101102022111221} is an apocalyptic number.

It is an amenable number.

101102022111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102022111221 is an equidigital number, since it uses as much as digits as its factorization.

101102022111221 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 101102022111221 its reverse (122111220201101), we get a palindrome (223213242312322).

The spelling of 101102022111221 in words is "one hundred one trillion, one hundred two billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".