122220100011009 has 512 divisors, whose sum is σ = 237093998690304. Its totient is φ = 53944704000000.

The previous prime is 122220100011007. The next prime is 122220100011041. The reversal of 122220100011009 is 900110001022221.

It is not a de Polignac number, because 122220100011009 - 2¹ = 122220100011007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122220100011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 94670874654 + ... + 94670875944.

It is an arithmetic number, because the mean of its divisors is an integer number (463074216192).

Almost surely, 2^{122220100011009} is an apocalyptic number.

It is an amenable number.

122220100011009 is a deficient number, since it is larger than the sum of its proper divisors (114873898679295).

122220100011009 is a wasteful number, since it uses less digits than its factorization.

122220100011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 122220100011009 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred million, eleven thousand, nine".