101210729 has 2 divisors, whose sum is σ = 101210730. Its totient is φ = 101210728.

The previous prime is 101210699. The next prime is 101210737. The reversal of 101210729 is 927012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62173225 + 39037504 = 7885^2 + 6248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210729 is a prime.

It is a super-2 number, since 2×101210729² = 20487223329422882, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (101210749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605364 + 50605365.

It is an arithmetic number, because the mean of its divisors is an integer number (50605365).

Almost surely, 2^101210729 is an apocalyptic number.

It is an amenable number.

101210729 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210729 is an equidigital number, since it uses as much as digits as its factorization.

101210729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 101210729 is about 10060.3543178160. The cubic root of 101210729 is about 466.0246092722.

The spelling of 101210729 in words is "one hundred one million, two hundred ten thousand, seven hundred twenty-nine".