100213322029 has 2 divisors, whose sum is σ = 100213322030. Its totient is φ = 100213322028.

The previous prime is 100213321991. The next prime is 100213322063. The reversal of 100213322029 is 920223312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81511392004 + 18701930025 = 285502^2 + 136755^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213322029 - 2¹⁵ = 100213289261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213321994 and 100213322012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213322329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106661014 + 50106661015.

It is an arithmetic number, because the mean of its divisors is an integer number (50106661015).

Almost surely, 2^100213322029 is an apocalyptic number.

It is an amenable number.

100213322029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213322029 is an equidigital number, since it uses as much as digits as its factorization.

100213322029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 100213322029 in words is "one hundred billion, two hundred thirteen million, three hundred twenty-two thousand, twenty-nine".