211121201000 has 64 divisors (see below), whose sum is σ = 495782361360. Its totient is φ = 84147840000.

The previous prime is 211121200993. The next prime is 211121201017. The reversal of 211121201000 is 102121112.

It can be written as a sum of positive squares in 8 ways, for example, as 57066520996 + 154054680004 = 238886^2 + 392498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94661 + ... + 656660.

Almost surely, 2^211121201000 is an apocalyptic number.

211121201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121201000 is an abundant number, since it is smaller than the sum of its proper divisors (284661160360).

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

211121201000 is a wasteful number, since it uses less digits than its factorization.

211121201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751623 (or 751609 counting only the distinct ones).

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

Adding to 211121201000 its reverse (102121112), we get a palindrome (211223322112).

The spelling of 211121201000 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred one thousand".