22101010110100 has 36 divisors (see below), whose sum is σ = 49612957184700. Its totient is φ = 8535562524160.

The previous prime is 22101010110083. The next prime is 22101010110163. The reversal of 22101010110100 is 101101010122.

It can be written as a sum of positive squares in 6 ways, for example, as 1395124771716 + 20705885338384 = 1181154^2 + 4550372^2 .

It is a super-3 number, since 3×22101010110100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3810516085 + ... + 3810521884.

It is an arithmetic number, because the mean of its divisors is an integer number (1378137699575).

Almost surely, 2^{22101010110100} is an apocalyptic number.

22101010110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101010110100 is an abundant number, since it is smaller than the sum of its proper divisors (27511947074600).

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

22101010110100 is a wasteful number, since it uses less digits than its factorization.

22101010110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621038012 (or 7621038005 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 22101010110100 its reverse (101101010122), we get a palindrome (22202111120222).

The spelling of 22101010110100 in words is "twenty-two trillion, one hundred one billion, ten million, one hundred ten thousand, one hundred".