101012021329 has 2 divisors, whose sum is σ = 101012021330. Its totient is φ = 101012021328.

The previous prime is 101012021267. The next prime is 101012021333. The reversal of 101012021329 is 923120210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84158010000 + 16854011329 = 290100^2 + 129823^2 .

It is an emirp because it is prime and its reverse (923120210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012021329 - 2¹¹ = 101012019281 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012021339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506010664 + 50506010665.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010665).

Almost surely, 2^101012021329 is an apocalyptic number.

It is an amenable number.

101012021329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012021329 is an equidigital number, since it uses as much as digits as its factorization.

101012021329 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 22.

The spelling of 101012021329 in words is "one hundred one billion, twelve million, twenty-one thousand, three hundred twenty-nine".