201202202112120 has 512 divisors, whose sum is σ = 758825459712000. Its totient is φ = 46979134272000.

The previous prime is 201202202112091. The next prime is 201202202112127. The reversal of 201202202112120 is 21211202202102.

It is a happy number.

201202202112120 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 220 + 211 + 212 + 0 = 666.

It is a super-2 number, since 2×201202202112120² (a number of 29 digits) contains 22 as substring.

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 = 201202202112093 and 201202202112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202202112127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76412461 + ... + 79001699.

It is an arithmetic number, because the mean of its divisors is an integer number (1482080976000).

Almost surely, 2^{201202202112120} is an apocalyptic number.

201202202112120 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 201202202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379412729856000).

201202202112120 is an abundant number, since it is smaller than the sum of its proper divisors (557623257599880).

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

201202202112120 is a wasteful number, since it uses less digits than its factorization.

201202202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589512 (or 2589502 counting only the distinct ones).

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

Adding to 201202202112120 its reverse (21211202202102), we get a palindrome (222413404314222).

The spelling of 201202202112120 in words is "two hundred one trillion, two hundred two billion, two hundred two million, one hundred twelve thousand, one hundred twenty".