101211220222193 has 2 divisors, whose sum is σ = 101211220222194. Its totient is φ = 101211220222192.

The previous prime is 101211220222169. The next prime is 101211220222237. The reversal of 101211220222193 is 391222022112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100381022255089 + 830197967104 = 10019033^2 + 911152^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211220222193 - 2³⁴ = 101194040353009 is a prime.

It is a super-2 number, since 2×101211220222193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101211220222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605610111096 + 50605610111097.

It is an arithmetic number, because the mean of its divisors is an integer number (50605610111097).

Almost surely, 2^{101211220222193} is an apocalyptic number.

It is an amenable number.

101211220222193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211220222193 is an equidigital number, since it uses as much as digits as its factorization.

101211220222193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 101211220222193 its reverse (391222022112101), we get a palindrome (492433242334294).

The spelling of 101211220222193 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty-two thousand, one hundred ninety-three".