2100100201209 has 48 divisors (see below), whose sum is σ = 3114839819520. Its totient is φ = 1362749068800.

The previous prime is 2100100201187. The next prime is 2100100201237. The reversal of 2100100201209 is 9021020010012.

It is not a de Polignac number, because 2100100201209 - 2¹³ = 2100100193017 is a prime.

It is a super-3 number, since 3×2100100201209³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100100201191 and 2100100201200.

It is not an unprimeable number, because it can be changed into a prime (2100100201259) 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 47 ways as a sum of consecutive naturals, for example, 171165127 + ... + 171177395.

It is an arithmetic number, because the mean of its divisors is an integer number (64892496240).

Almost surely, 2^{2100100201209} is an apocalyptic number.

It is an amenable number.

2100100201209 is a deficient number, since it is larger than the sum of its proper divisors (1014739618311).

2100100201209 is a wasteful number, since it uses less digits than its factorization.

2100100201209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13819 counting only the distinct ones).

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

The spelling of 2100100201209 in words is "two trillion, one hundred billion, one hundred million, two hundred one thousand, two hundred nine".