101102000312293 has 2 divisors, whose sum is σ = 101102000312294. Its totient is φ = 101102000312292.

The previous prime is 101102000312279. The next prime is 101102000312491. The reversal of 101102000312293 is 392213000201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55816408797444 + 45285591514849 = 7471038^2 + 6729457^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102000312293 - 2²⁵ = 101101966757861 is a prime.

It is a super-2 number, since 2×101102000312293² (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 (101102000312233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551000156146 + 50551000156147.

It is an arithmetic number, because the mean of its divisors is an integer number (50551000156147).

Almost surely, 2^{101102000312293} is an apocalyptic number.

It is an amenable number.

101102000312293 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102000312293 is an equidigital number, since it uses as much as digits as its factorization.

101102000312293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 101102000312293 its reverse (392213000201101), we get a palindrome (493315000513394).

The spelling of 101102000312293 in words is "one hundred one trillion, one hundred two billion, three hundred twelve thousand, two hundred ninety-three".