101322200010009 has 64 divisors (see below), whose sum is σ = 153673111166976. Its totient is φ = 58824729600000.

The previous prime is 101322200009909. The next prime is 101322200010011. The reversal of 101322200010009 is 900010002223101.

It is not a de Polignac number, because 101322200010009 - 2¹⁶ = 101322199944473 is a prime.

It is a super-4 number, since 4×101322200010009⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (101322200010209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462880942 + ... + 463099784.

It is an arithmetic number, because the mean of its divisors is an integer number (2401142361984).

Almost surely, 2^{101322200010009} is an apocalyptic number.

It is an amenable number.

101322200010009 is a deficient number, since it is larger than the sum of its proper divisors (52350911156967).

101322200010009 is a wasteful number, since it uses less digits than its factorization.

101322200010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223470.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 101322200010009 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred million, ten thousand, nine".