201122112100 has 216 divisors, whose sum is σ = 551600898408. Its totient is φ = 63086284800.

The previous prime is 201122112029. The next prime is 201122112101. The reversal of 201122112100 is 1211221102.

It can be written as a sum of positive squares in 12 ways, for example, as 153521345124 + 47600766976 = 391818^2 + 218176^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (201122112101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7184130 + ... + 7212070.

It is an arithmetic number, because the mean of its divisors is an integer number (2553707863).

Almost surely, 2^201122112100 is an apocalyptic number.

201122112100 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 201122112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275800449204).

201122112100 is an abundant number, since it is smaller than the sum of its proper divisors (350478786308).

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

201122112100 is a wasteful number, since it uses less digits than its factorization.

201122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28095 (or 28081 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122112100 its reverse (1211221102), we get a palindrome (202333333202).

The spelling of 201122112100 in words is "two hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".