101002100020209 has 32 divisors (see below), whose sum is σ = 149665839120000. Its totient is φ = 67319841042432.

The previous prime is 101002100020201. The next prime is 101002100020253. The reversal of 101002100020209 is 902020001200101.

It is not a de Polignac number, because 101002100020209 - 2³ = 101002100020201 is a prime.

It is a super-3 number, since 3×101002100020209³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002100020191 and 101002100020200.

It is not an unprimeable number, because it can be changed into a prime (101002100020201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3146564842 + ... + 3146596940.

It is an arithmetic number, because the mean of its divisors is an integer number (4677057472500).

Almost surely, 2^{101002100020209} is an apocalyptic number.

It is an amenable number.

101002100020209 is a deficient number, since it is larger than the sum of its proper divisors (48663739099791).

101002100020209 is a wasteful number, since it uses less digits than its factorization.

101002100020209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54254 (or 54248 counting only the distinct ones).

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

The spelling of 101002100020209 in words is "one hundred one trillion, two billion, one hundred million, twenty thousand, two hundred nine".