2120223003100 has 144 divisors (see below), whose sum is σ = 4759739107200. Its totient is φ = 819287320320.

The previous prime is 2120223003037. The next prime is 2120223003103. The reversal of 2120223003100 is 13003220212.

It is a super-2 number, since 2×2120223003100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120223003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160774707 + ... + 160787893.

It is an arithmetic number, because the mean of its divisors is an integer number (33053743800).

Almost surely, 2^{2120223003100} is an apocalyptic number.

2120223003100 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 2120223003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379869553600).

2120223003100 is an abundant number, since it is smaller than the sum of its proper divisors (2639516104100).

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

2120223003100 is a wasteful number, since it uses less digits than its factorization.

2120223003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2120223003100 its reverse (13003220212), we get a palindrome (2133226223312).

The spelling of 2120223003100 in words is "two trillion, one hundred twenty billion, two hundred twenty-three million, three thousand, one hundred".