101221829 has 2 divisors, whose sum is σ = 101221830. Its totient is φ = 101221828.

The previous prime is 101221819. The next prime is 101221843. The reversal of 101221829 is 928122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90345025 + 10876804 = 9505^2 + 3298^2 .

It is an emirp because it is prime and its reverse (928122101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221829 is a prime.

It is a super-2 number, since 2×101221829² = 20491717332210482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221798 and 101221807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610914 + 50610915.

It is an arithmetic number, because the mean of its divisors is an integer number (50610915).

Almost surely, 2^101221829 is an apocalyptic number.

It is an amenable number.

101221829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221829 is an equidigital number, since it uses as much as digits as its factorization.

101221829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 101221829 is about 10060.9059731219. The cubic root of 101221829 is about 466.0416452924.

The spelling of 101221829 in words is "one hundred one million, two hundred twenty-one thousand, eight hundred twenty-nine".