101019991829 has 2 divisors, whose sum is σ = 101019991830. Its totient is φ = 101019991828.

The previous prime is 101019991789. The next prime is 101019991841. The reversal of 101019991829 is 928199910101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71597450929 + 29422540900 = 267577^2 + 171530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101019991829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101019991859) 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, 50509995914 + 50509995915.

It is an arithmetic number, because the mean of its divisors is an integer number (50509995915).

Almost surely, 2^101019991829 is an apocalyptic number.

It is an amenable number.

101019991829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101019991829 is an equidigital number, since it uses as much as digits as its factorization.

101019991829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 50.

The spelling of 101019991829 in words is "one hundred one billion, nineteen million, nine hundred ninety-one thousand, eight hundred twenty-nine".