11202122110100 has 36 divisors (see below), whose sum is σ = 24549284258268. Its totient is φ = 4436484000000.

The previous prime is 11202122110099. The next prime is 11202122110103. The reversal of 11202122110100 is 101122120211.

It can be written as a sum of positive squares in 6 ways, for example, as 2506629898756 + 8695492211344 = 1583234^2 + 2948812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202122110103) 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, 554550401 + ... + 554570600.

Almost surely, 2^{11202122110100} is an apocalyptic number.

11202122110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202122110100 is an abundant number, since it is smaller than the sum of its proper divisors (13347162148168).

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

11202122110100 is a wasteful number, since it uses less digits than its factorization.

11202122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109121116 (or 1109121109 counting only the distinct ones).

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

Adding to 11202122110100 its reverse (101122120211), we get a palindrome (11303244230311).

The spelling of 11202122110100 in words is "eleven trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred".