11002121122100 has 18 divisors (see below), whose sum is σ = 23874602835174. Its totient is φ = 4400848448800.

The previous prime is 11002121122081. The next prime is 11002121122117. The reversal of 11002121122100 is 122112120011.

It can be written as a sum of positive squares in 3 ways, for example, as 2768217129616 + 8233903992484 = 1663796^2 + 2869478^2 .

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, 55010605511 + ... + 55010605710.

Almost surely, 2^{11002121122100} is an apocalyptic number.

11002121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002121122100 is an abundant number, since it is smaller than the sum of its proper divisors (12872481713074).

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

11002121122100 is a wasteful number, since it uses less digits than its factorization.

11002121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110021211235 (or 110021211228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11002121122100 its reverse (122112120011), we get a palindrome (11124233242111).

The spelling of 11002121122100 in words is "eleven trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".