201222100122120 has 576 divisors, whose sum is σ = 832213156694400. Its totient is φ = 41695900968960.

The previous prime is 201222100122107. The next prime is 201222100122133. The reversal of 201222100122120 is 21221001222102.

It is a happy number.

201222100122120 is a `hidden beast` number, since 201 + 2 + 221 + 0 + 0 + 1 + 221 + 20 = 666.

201222100122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201222100122107) and next prime (201222100122133).

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

It is a junction number, because it is equal to n+sod(n) for n = 201222100122093 and 201222100122102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68216052 + ... + 71104668.

It is an arithmetic number, because the mean of its divisors is an integer number (1444814508150).

Almost surely, 2^{201222100122120} is an apocalyptic number.

201222100122120 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 201222100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416106578347200).

201222100122120 is an abundant number, since it is smaller than the sum of its proper divisors (630991056572280).

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

201222100122120 is a wasteful number, since it uses less digits than its factorization.

201222100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889018 (or 2889004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201222100122120 its reverse (21221001222102), we get a palindrome (222443101344222).

The spelling of 201222100122120 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".