211201121000 has 32 divisors (see below), whose sum is σ = 494210625480. Its totient is φ = 84480448000.

The previous prime is 211201120943. The next prime is 211201121017. The reversal of 211201121000 is 121102112.

It can be written as a sum of positive squares in 4 ways, for example, as 93158027524 + 118043093476 = 305218^2 + 343574^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105599561 + ... + 105601560.

Almost surely, 2^211201121000 is an apocalyptic number.

211201121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201121000 is an abundant number, since it is smaller than the sum of its proper divisors (283009504480).

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

211201121000 is a wasteful number, since it uses less digits than its factorization.

211201121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211201142 (or 211201128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211201121000 its reverse (121102112), we get a palindrome (211322223112).

The spelling of 211201121000 in words is "two hundred eleven billion, two hundred one million, one hundred twenty-one thousand".