201122210101120 has 512 divisors, whose sum is σ = 634847885107200. Its totient is φ = 59066925096960.

The previous prime is 201122210101103. The next prime is 201122210101129. The reversal of 201122210101120 is 21101012221102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201122210101094 and 201122210101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122210101129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74616271 + ... + 77264689.

It is an arithmetic number, because the mean of its divisors is an integer number (1239937275600).

Almost surely, 2^{201122210101120} is an apocalyptic number.

201122210101120 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 201122210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317423942553600).

201122210101120 is an abundant number, since it is smaller than the sum of its proper divisors (433725675006080).

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

201122210101120 is a wasteful number, since it uses less digits than its factorization.

201122210101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648546 (or 2648534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201122210101120 its reverse (21101012221102), we get a palindrome (222223222322222).

The spelling of 201122210101120 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, one hundred twenty".