201121100210100 has 288 divisors, whose sum is σ = 665904129408000. Its totient is φ = 45910873036800.

The previous prime is 201121100209987. The next prime is 201121100210137. The reversal of 201121100210100 is 1012001121102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5549527980 + ... + 5549564220.

It is an arithmetic number, because the mean of its divisors is an integer number (2312167116000).

Almost surely, 2^{201121100210100} is an apocalyptic number.

201121100210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121100210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332952064704000).

201121100210100 is an abundant number, since it is smaller than the sum of its proper divisors (464783029197900).

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

201121100210100 is a wasteful number, since it uses less digits than its factorization.

201121100210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39623 (or 39616 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201121100210100 its reverse (1012001121102), we get a palindrome (202133101331202).

It can be divided in two parts, 2011211002 and 10100, that added together give a palindrome (2011221102).

The spelling of 201121100210100 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred ten thousand, one hundred".