101000999978929 has 2 divisors, whose sum is σ = 101000999978930. Its totient is φ = 101000999978928.

The previous prime is 101000999978917. The next prime is 101000999978941. The reversal of 101000999978929 is 929879999000101.

It is a balanced prime because it is at equal distance from previous prime (101000999978917) and next prime (101000999978941).

It can be written as a sum of positive squares in only one way, i.e., 84944830768704 + 16056169210225 = 9216552^2 + 4007015^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000999978929 - 2¹⁷ = 101000999847857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000999978959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500499989464 + 50500499989465.

It is an arithmetic number, because the mean of its divisors is an integer number (50500499989465).

Almost surely, 2^{101000999978929} is an apocalyptic number.

It is an amenable number.

101000999978929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000999978929 is an equidigital number, since it uses as much as digits as its factorization.

101000999978929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59521392, while the sum is 73.

The spelling of 101000999978929 in words is "one hundred one trillion, nine hundred ninety-nine million, nine hundred seventy-eight thousand, nine hundred twenty-nine".