101029769221 has 2 divisors, whose sum is σ = 101029769222. Its totient is φ = 101029769220.

The previous prime is 101029769219. The next prime is 101029769297. The reversal of 101029769221 is 122967920101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95647932900 + 5381836321 = 309270^2 + 73361^2 .

It is a cyclic number.

It is not a de Polignac number, because 101029769221 - 2¹ = 101029769219 is a prime.

Together with 101029769219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101029719221) 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, 50514884610 + 50514884611.

It is an arithmetic number, because the mean of its divisors is an integer number (50514884611).

Almost surely, 2^101029769221 is an apocalyptic number.

It is an amenable number.

101029769221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101029769221 is an equidigital number, since it uses as much as digits as its factorization.

101029769221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 101029769221 in words is "one hundred one billion, twenty-nine million, seven hundred sixty-nine thousand, two hundred twenty-one".