22102100 has 18 divisors (see below), whose sum is σ = 47961774. Its totient is φ = 8840800.

The previous prime is 22102097. The next prime is 22102117. The reversal of 22102100 is 120122.

It can be written as a sum of positive squares in 3 ways, for example, as 7463824 + 14638276 = 2732^2 + 3826^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110411 + ... + 110610.

It is an arithmetic number, because the mean of its divisors is an integer number (2664543).

Almost surely, 2^22102100 is an apocalyptic number.

22102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102100 is an abundant number, since it is smaller than the sum of its proper divisors (25859674).

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

22102100 is a wasteful number, since it uses less digits than its factorization.

22102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221035 (or 221028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 22102100 is about 4701.2870578173. The cubic root of 22102100 is about 280.6367312222.

Adding to 22102100 its reverse (120122), we get a palindrome (22222222).

The spelling of 22102100 in words is "twenty-two million, one hundred two thousand, one hundred".