101110221212093 has 2 divisors, whose sum is σ = 101110221212094. Its totient is φ = 101110221212092.

The previous prime is 101110221212047. The next prime is 101110221212101. The reversal of 101110221212093 is 390212122011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90676920688249 + 10433300523844 = 9522443^2 + 3230062^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110221212093 - 2⁴² = 96712174700989 is a prime.

It is a super-3 number, since 3×101110221212093³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110241212093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555110606046 + 50555110606047.

It is an arithmetic number, because the mean of its divisors is an integer number (50555110606047).

Almost surely, 2^{101110221212093} is an apocalyptic number.

It is an amenable number.

101110221212093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110221212093 is an equidigital number, since it uses as much as digits as its factorization.

101110221212093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 101110221212093 its reverse (390212122011101), we get a palindrome (491322343223194).

The spelling of 101110221212093 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, ninety-three".