202112101201120 has 384 divisors, whose sum is σ = 530456808849408. Its totient is φ = 72158423500800.

The previous prime is 202112101201117. The next prime is 202112101201187. The reversal of 202112101201120 is 21102101211202.

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 = 202112101201094 and 202112101201103.

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 63 ways as a sum of consecutive naturals, for example, 34123262479 + ... + 34123268401.

It is an arithmetic number, because the mean of its divisors is an integer number (1381397939712).

Almost surely, 2^{202112101201120} is an apocalyptic number.

202112101201120 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 202112101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265228404424704).

202112101201120 is an abundant number, since it is smaller than the sum of its proper divisors (328344707648288).

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

202112101201120 is a wasteful number, since it uses less digits than its factorization.

202112101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7438 counting only the distinct ones).

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

Adding to 202112101201120 its reverse (21102101211202), we get a palindrome (223214202412322).

The spelling of 202112101201120 in words is "two hundred two trillion, one hundred twelve billion, one hundred one million, two hundred one thousand, one hundred twenty".