210201122000 has 40 divisors (see below), whose sum is σ = 508266317832. Its totient is φ = 84080448000.

The previous prime is 210201121981. The next prime is 210201122009. The reversal of 210201122000 is 221102012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24770982544 + 185430139456 = 157388^2 + 430616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201122009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52548281 + ... + 52552280.

Almost surely, 2^210201122000 is an apocalyptic number.

210201122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201122000 is an abundant number, since it is smaller than the sum of its proper divisors (298065195832).

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

210201122000 is a wasteful number, since it uses less digits than its factorization.

210201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105100584 (or 105100568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210201122000 its reverse (221102012), we get a palindrome (210422224012).

The spelling of 210201122000 in words is "two hundred ten billion, two hundred one million, one hundred twenty-two thousand".