22121000220100 has 36 divisors (see below), whose sum is σ = 48369002341968. Its totient is φ = 8780855044000.

The previous prime is 22121000220061. The next prime is 22121000220107. The reversal of 22121000220100 is 102200012122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22121000220107) 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, 844299886 + ... + 844326085.

It is an arithmetic number, because the mean of its divisors is an integer number (1343583398388).

Almost surely, 2^{22121000220100} is an apocalyptic number.

22121000220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121000220100 is an abundant number, since it is smaller than the sum of its proper divisors (26248002121868).

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

22121000220100 is a wasteful number, since it uses less digits than its factorization.

22121000220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688626116 (or 1688626109 counting only the distinct ones).

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

Adding to 22121000220100 its reverse (102200012122), we get a palindrome (22223200232222).

The spelling of 22121000220100 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty thousand, one hundred".