11002201122100 has 72 divisors (see below), whose sum is σ = 25502885007768. Its totient is φ = 4105350144000.

The previous prime is 11002201122037. The next prime is 11002201122109. The reversal of 11002201122100 is 122110220011.

It can be written as a sum of positive squares in 12 ways, for example, as 2830812980004 + 8171388142096 = 1682502^2 + 2858564^2 .

It is a super-2 number, since 2×11002201122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002201122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28444551 + ... + 28828750.

It is an arithmetic number, because the mean of its divisors is an integer number (354206736219).

Almost surely, 2^{11002201122100} is an apocalyptic number.

11002201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002201122100 is an abundant number, since it is smaller than the sum of its proper divisors (14500683885668).

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

11002201122100 is a wasteful number, since it uses less digits than its factorization.

11002201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57273445 (or 57273438 counting only the distinct ones).

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

Adding to 11002201122100 its reverse (122110220011), we get a palindrome (11124311342111).

The spelling of 11002201122100 in words is "eleven trillion, two billion, two hundred one million, one hundred twenty-two thousand, one hundred".