22121102220100 has 144 divisors (see below), whose sum is σ = 54508858084800. Its totient is φ = 7724720632320.

The previous prime is 22121102220097. The next prime is 22121102220103. The reversal of 22121102220100 is 102220112122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22121102220097) and next prime (22121102220103).

It is a super-2 number, since 2×22121102220100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22121102220103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13736046 + ... + 15261754.

It is an arithmetic number, because the mean of its divisors is an integer number (378533736700).

Almost surely, 2^{22121102220100} is an apocalyptic number.

22121102220100 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 22121102220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27254429042400).

22121102220100 is an abundant number, since it is smaller than the sum of its proper divisors (32387755864700).

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

22121102220100 is a wasteful number, since it uses less digits than its factorization.

22121102220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526342 (or 1526335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22121102220100 its reverse (102220112122), we get a palindrome (22223322332222).

The spelling of 22121102220100 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty thousand, one hundred".