2333222220100 has 36 divisors (see below), whose sum is σ = 5113221865668. Its totient is φ = 924048400000.

The previous prime is 2333222220071. The next prime is 2333222220103. The reversal of 2333222220100 is 10222223332.

2333222220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 617871458304 + 1715350761796 = 786048^2 + 1309714^2 .

It is not an unprimeable number, because it can be changed into a prime (2333222220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115495951 + ... + 115516150.

It is an arithmetic number, because the mean of its divisors is an integer number (142033940713).

Almost surely, 2^{2333222220100} is an apocalyptic number.

2333222220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2333222220100 is an abundant number, since it is smaller than the sum of its proper divisors (2779999645568).

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

2333222220100 is a wasteful number, since it uses less digits than its factorization.

2333222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231012216 (or 231012209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2333222220100 its reverse (10222223332), we get a palindrome (2343444443432).

The spelling of 2333222220100 in words is "two trillion, three hundred thirty-three billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".