201210210121120 has 96 divisors (see below), whose sum is σ = 476021136951360. Its totient is φ = 80372044247040.

The previous prime is 201210210121097. The next prime is 201210210121139. The reversal of 201210210121120 is 21121012012102.

It is a super-2 number, since 2×201210210121120² (a number of 29 digits) contains 22 as substring.

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 = 201210210121094 and 201210210121103.

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 15 ways as a sum of consecutive naturals, for example, 549254815 + ... + 549621025.

It is an arithmetic number, because the mean of its divisors is an integer number (4958553509910).

Almost surely, 2^{201210210121120} is an apocalyptic number.

201210210121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210210121120 is an abundant number, since it is smaller than the sum of its proper divisors (274810926830240).

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

201210210121120 is a wasteful number, since it uses less digits than its factorization.

201210210121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370998 (or 370990 counting only the distinct ones).

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

Adding to 201210210121120 its reverse (21121012012102), we get a palindrome (222331222133222).

The spelling of 201210210121120 in words is "two hundred one trillion, two hundred ten billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".