11002212210100 has 36 divisors (see below), whose sum is σ = 23874962879404. Its totient is φ = 4400854951680.

The previous prime is 11002212210091. The next prime is 11002212210109. The reversal of 11002212210100 is 101221220011.

It is an interprime number because it is at equal distance from previous prime (11002212210091) and next prime (11002212210109).

It can be written as a sum of positive squares in 6 ways, for example, as 151170105636 + 10851042104464 = 388806^2 + 3294092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002212210109) 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, 19830064 + ... + 20377336.

Almost surely, 2^{11002212210100} is an apocalyptic number.

11002212210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002212210100 is an abundant number, since it is smaller than the sum of its proper divisors (12872750669304).

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

11002212210100 is a wasteful number, since it uses less digits than its factorization.

11002212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748324 (or 748317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11002212210100 its reverse (101221220011), we get a palindrome (11103433430111).

The spelling of 11002212210100 in words is "eleven trillion, two billion, two hundred twelve million, two hundred ten thousand, one hundred".