2101211101100 has 36 divisors (see below), whose sum is σ = 4595530700544. Its totient is φ = 833866447680.

The previous prime is 2101211101079. The next prime is 2101211101151. The reversal of 2101211101100 is 11011121012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82712147 + ... + 82737546.

Almost surely, 2^{2101211101100} is an apocalyptic number.

2101211101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101211101100 is an abundant number, since it is smaller than the sum of its proper divisors (2494319599444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101211101100 is a wasteful number, since it uses less digits than its factorization.

2101211101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165449834 (or 165449827 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101211101100 its reverse (11011121012), we get a palindrome (2112222222112).

The spelling of 2101211101100 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred".