2120211301032 has 384 divisors, whose sum is σ = 6613001740800. Its totient is φ = 607921459200.

The previous prime is 2120211301031. The next prime is 2120211301067. The reversal of 2120211301032 is 2301031120212.

2120211301032 is a `hidden beast` number, since 2 + 120 + 211 + 301 + 0 + 32 = 666.

It is a super-2 number, since 2×2120211301032² (a number of 25 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 = 2120211300996 and 2120211301014.

It is not an unprimeable number, because it can be changed into a prime (2120211301031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159084753 + ... + 159098079.

It is an arithmetic number, because the mean of its divisors is an integer number (17221358700).

Almost surely, 2^{2120211301032} is an apocalyptic number.

2120211301032 is a gapful number since it is divisible by the number (22) 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 2120211301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306500870400).

2120211301032 is an abundant number, since it is smaller than the sum of its proper divisors (4492790439768).

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

2120211301032 is a wasteful number, since it uses less digits than its factorization.

2120211301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13537 (or 13530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2120211301032 its reverse (2301031120212), we get a palindrome (4421242421244).

The spelling of 2120211301032 in words is "two trillion, one hundred twenty billion, two hundred eleven million, three hundred one thousand, thirty-two".