201122100 has 54 divisors (see below), whose sum is σ = 630408870. Its totient is φ = 53632320.

The previous prime is 201122093. The next prime is 201122101. The reversal of 201122100 is 1221102.

It can be written as a sum of positive squares in 3 ways, for example, as 3663396 + 197458704 = 1914^2 + 14052^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110835 + ... + 112634.

Almost surely, 2^201122100 is an apocalyptic number.

201122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122100 is an abundant number, since it is smaller than the sum of its proper divisors (429286770).

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

201122100 is a wasteful number, since it uses less digits than its factorization.

201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223489 (or 223479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201122100 is about 14181.7523599871. The cubic root of 201122100 is about 585.8951887314.

Adding to 201122100 its reverse (1221102), we get a palindrome (202343202).

The spelling of 201122100 in words is "two hundred one million, one hundred twenty-two thousand, one hundred".