102001010220009 has 6 divisors (see below), whose sum is σ = 147334792540026. Its totient is φ = 68000673480000.

The previous prime is 102001010219993. The next prime is 102001010220029. The reversal of 102001010220009 is 900022010100201.

It can be written as a sum of positive squares in only one way, i.e., 98206415307225 + 3794594912784 = 9909915^2 + 1947972^2 .

It is not a de Polignac number, because 102001010220009 - 2⁴ = 102001010219993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102001010219973 and 102001010220000.

It is not an unprimeable number, because it can be changed into a prime (102001010220029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5666722789992 + ... + 5666722790009.

It is an arithmetic number, because the mean of its divisors is an integer number (24555798756671).

Almost surely, 2^{102001010220009} is an apocalyptic number.

It is an amenable number.

102001010220009 is a deficient number, since it is larger than the sum of its proper divisors (45333782320017).

102001010220009 is a wasteful number, since it uses less digits than its factorization.

102001010220009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333445580007 (or 11333445580004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 102001010220009 in words is "one hundred two trillion, one billion, ten million, two hundred twenty thousand, nine".