101331202021009 has 2 divisors, whose sum is σ = 101331202021010. Its totient is φ = 101331202021008.

The previous prime is 101331202020991. The next prime is 101331202021129. The reversal of 101331202021009 is 900120202133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77255222355025 + 24075979665984 = 8789495^2 + 4906728^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331202021009 - 2¹⁵ = 101331201988241 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331202027009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665601010504 + 50665601010505.

It is an arithmetic number, because the mean of its divisors is an integer number (50665601010505).

Almost surely, 2^{101331202021009} is an apocalyptic number.

It is an amenable number.

101331202021009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331202021009 is an equidigital number, since it uses as much as digits as its factorization.

101331202021009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 101331202021009 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-one thousand, nine".