101221100201093 has 2 divisors, whose sum is σ = 101221100201094. Its totient is φ = 101221100201092.

The previous prime is 101221100201077. The next prime is 101221100201129. The reversal of 101221100201093 is 390102001122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78858964386049 + 22362135815044 = 8880257^2 + 4728862^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221100201093 - 2⁴ = 101221100201077 is a prime.

It is a super-2 number, since 2×101221100201093² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221100201593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610550100546 + 50610550100547.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550100547).

Almost surely, 2^{101221100201093} is an apocalyptic number.

It is an amenable number.

101221100201093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221100201093 is an equidigital number, since it uses as much as digits as its factorization.

101221100201093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101221100201093 its reverse (390102001122101), we get a palindrome (491323101323194).

The spelling of 101221100201093 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, two hundred one thousand, ninety-three".