211121101201000 has 32 divisors (see below), whose sum is σ = 494023376812680. Its totient is φ = 84448440480000.

The previous prime is 211121101200973. The next prime is 211121101201027. The reversal of 211121101201000 is 102101121112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211121101200973) and next prime (211121101201027).

It can be written as a sum of positive squares in 4 ways, for example, as 94593091906404 + 116528009294596 = 9725898^2 + 10794814^2 .

It is an unprimeable number.

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, 105560549601 + ... + 105560551600.

Almost surely, 2^{211121101201000} is an apocalyptic number.

211121101201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121101201000 is an abundant number, since it is smaller than the sum of its proper divisors (282902275611680).

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

211121101201000 is a wasteful number, since it uses less digits than its factorization.

211121101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211121101222 (or 211121101208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121101201000 its reverse (102101121112), we get a palindrome (211223202322112).

The spelling of 211121101201000 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, two hundred one thousand".