1020210102009 has 24 divisors (see below), whose sum is σ = 1694241144960. Its totient is φ = 579486313728.

The previous prime is 1020210101993. The next prime is 1020210102029. The reversal of 1020210102009 is 9002010120201.

It is not a de Polignac number, because 1020210102009 - 2⁴ = 1020210101993 is a prime.

It is a super-3 number, since 3×1020210102009³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020210101982 and 1020210102000.

It is not an unprimeable number, because it can be changed into a prime (1020210102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48473944 + ... + 48494985.

It is an arithmetic number, because the mean of its divisors is an integer number (70593381040).

Almost surely, 2^{1020210102009} is an apocalyptic number.

It is an amenable number.

1020210102009 is a deficient number, since it is larger than the sum of its proper divisors (674031042951).

1020210102009 is a wasteful number, since it uses less digits than its factorization.

1020210102009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96969109 (or 96969106 counting only the distinct ones).

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

The spelling of 1020210102009 in words is "one trillion, twenty billion, two hundred ten million, one hundred two thousand, nine".