22101002220100 has 18 divisors (see below), whose sum is σ = 47959174817834. Its totient is φ = 8840400888000.

The previous prime is 22101002220079. The next prime is 22101002220107. The reversal of 22101002220100 is 102220010122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2910872752384 + 19190129467716 = 1706128^2 + 4380654^2 .

It is not an unprimeable number, because it can be changed into a prime (22101002220107) 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 5 ways as a sum of consecutive naturals, for example, 110505011001 + ... + 110505011200.

Almost surely, 2^{22101002220100} is an apocalyptic number.

22101002220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101002220100 is an abundant number, since it is smaller than the sum of its proper divisors (25858172597734).

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

22101002220100 is a wasteful number, since it uses less digits than its factorization.

22101002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221010022215 (or 221010022208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22101002220100 its reverse (102220010122), we get a palindrome (22203222230222).

It can be divided in two parts, 221010022 and 20100, that added together give a palindrome (221030122).

The spelling of 22101002220100 in words is "twenty-two trillion, one hundred one billion, two million, two hundred twenty thousand, one hundred".