100211011020209 has 8 divisors (see below), whose sum is σ = 100883826945000. Its totient is φ = 99538198546432.

The previous prime is 100211011020191. The next prime is 100211011020283. The reversal of 100211011020209 is 902020110112001.

It can be written as a sum of positive squares in 4 ways, for example, as 45059965379584 + 55151045640625 = 6712672^2 + 7426375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211011020209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211011020709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88088177 + ... + 89218545.

It is an arithmetic number, because the mean of its divisors is an integer number (12610478368125).

Almost surely, 2^{100211011020209} is an apocalyptic number.

It is an amenable number.

100211011020209 is a deficient number, since it is larger than the sum of its proper divisors (672815924791).

100211011020209 is a wasteful number, since it uses less digits than its factorization.

100211011020209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725507.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100211011020209 in words is "one hundred trillion, two hundred eleven billion, eleven million, twenty thousand, two hundred nine".