2231002220100 has 144 divisors (see below), whose sum is σ = 6639222437568. Its totient is φ = 578005148160.

The previous prime is 2231002220047. The next prime is 2231002220113. The reversal of 2231002220100 is 10222001322.

It is a happy number.

It is a super-3 number, since 3×2231002220100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231002220100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7434162 + ... + 7728438.

It is an arithmetic number, because the mean of its divisors is an integer number (46105711372).

Almost surely, 2^{2231002220100} is an apocalyptic number.

2231002220100 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 2231002220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319611218784).

2231002220100 is an abundant number, since it is smaller than the sum of its proper divisors (4408220217468).

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

2231002220100 is a wasteful number, since it uses less digits than its factorization.

2231002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295014 (or 295007 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2231002220100 its reverse (10222001322), we get a palindrome (2241224221422).

The spelling of 2231002220100 in words is "two trillion, two hundred thirty-one billion, two million, two hundred twenty thousand, one hundred".