211200109999961 has 8 divisors (see below), whose sum is σ = 217729366164744. Its totient is φ = 204736474500480.

The previous prime is 211200109999951. The next prime is 211200109999969. The reversal of 211200109999961 is 169999901002112.

It can be written as a sum of positive squares in 4 ways, for example, as 19547761051225 + 191652348948736 = 4421285^2 + 13843856^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 211200109999961 - 2⁶ = 211200109999897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211200109999961.

It is not an unprimeable number, because it can be changed into a prime (211200109999969) 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 7 ways as a sum of consecutive naturals, for example, 16405159790 + ... + 16405172663.

It is an arithmetic number, because the mean of its divisors is an integer number (27216170770593).

Almost surely, 2^{211200109999961} is an apocalyptic number.

It is an amenable number.

211200109999961 is a deficient number, since it is larger than the sum of its proper divisors (6529256164783).

211200109999961 is a wasteful number, since it uses less digits than its factorization.

211200109999961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32810332651.

The product of its (nonzero) digits is 1417176, while the sum is 59.

The spelling of 211200109999961 in words is "two hundred eleven trillion, two hundred billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred sixty-one".