22120101220100 has 108 divisors (see below), whose sum is σ = 52076786989500. Its totient is φ = 8151742310400.

The previous prime is 22120101220031. The next prime is 22120101220117. The reversal of 22120101220100 is 102210102122.

It can be written as a sum of positive squares in 18 ways, for example, as 20664734039104 + 1455367180996 = 4545848^2 + 1206386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7548776 + ... + 10061024.

It is an arithmetic number, because the mean of its divisors is an integer number (482192472125).

Almost surely, 2^{22120101220100} is an apocalyptic number.

22120101220100 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 22120101220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26038393494750).

22120101220100 is an abundant number, since it is smaller than the sum of its proper divisors (29956685769400).

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

22120101220100 is a wasteful number, since it uses less digits than its factorization.

22120101220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512810 (or 2512790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22120101220100 its reverse (102210102122), we get a palindrome (22222311322222).

The spelling of 22120101220100 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred twenty thousand, one hundred".