201121211222100 has 216 divisors, whose sum is σ = 680715932688792. Its totient is φ = 49374032716800.

The previous prime is 201121211222069. The next prime is 201121211222167. The reversal of 201121211222100 is 1222112121102.

201121211222100 is a `hidden beast` number, since 20 + 112 + 1 + 211 + 222 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 151625089740996 + 49496121481104 = 12313614^2 + 7035348^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 18678591 + ... + 27406790.

It is an arithmetic number, because the mean of its divisors is an integer number (3151462651337).

Almost surely, 2^{201121211222100} is an apocalyptic number.

201121211222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121211222100 is an abundant number, since it is smaller than the sum of its proper divisors (479594721466692).

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

201121211222100 is a wasteful number, since it uses less digits than its factorization.

201121211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46085787 (or 46085777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201121211222100 its reverse (1222112121102), we get a palindrome (202343323343202).

The spelling of 201121211222100 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".