102001022191829 has 2 divisors, whose sum is σ = 102001022191830. Its totient is φ = 102001022191828.

The previous prime is 102001022191741. The next prime is 102001022191843. The reversal of 102001022191829 is 928191220100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101516707802500 + 484314389329 = 10075550^2 + 695927^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001022191829 - 2²⁸ = 102000753756373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001022191792 and 102001022191801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001022191879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000511095914 + 51000511095915.

It is an arithmetic number, because the mean of its divisors is an integer number (51000511095915).

Almost surely, 2^{102001022191829} is an apocalyptic number.

It is an amenable number.

102001022191829 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001022191829 is an equidigital number, since it uses as much as digits as its factorization.

102001022191829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 102001022191829 in words is "one hundred two trillion, one billion, twenty-two million, one hundred ninety-one thousand, eight hundred twenty-nine".