22002211110100 has 72 divisors (see below), whose sum is σ = 51424161217688. Its totient is φ = 8122836902400.

The previous prime is 22002211110049. The next prime is 22002211110101. The reversal of 22002211110100 is 101111220022.

It can be written as a sum of positive squares in 12 ways, for example, as 6844052460996 + 15158158649104 = 2616114^2 + 3893348^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002211110101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8935510 + ... + 11128690.

Almost surely, 2^{22002211110100} is an apocalyptic number.

22002211110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002211110100 is an abundant number, since it is smaller than the sum of its proper divisors (29421950107588).

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

22002211110100 is a wasteful number, since it uses less digits than its factorization.

22002211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200925 (or 2200918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22002211110100 its reverse (101111220022), we get a palindrome (22103322330122).

The spelling of 22002211110100 in words is "twenty-two trillion, two billion, two hundred eleven million, one hundred ten thousand, one hundred".