11131012022100 has 288 divisors, whose sum is σ = 33883477985280. Its totient is φ = 2818053504000.

The previous prime is 11131012022087. The next prime is 11131012022129. The reversal of 11131012022100 is 122021013111.

It is a super-2 number, since 2×11131012022100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131012022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143293071 + ... + 143370729.

Almost surely, 2^{11131012022100} is an apocalyptic number.

11131012022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131012022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941738992640).

11131012022100 is an abundant number, since it is smaller than the sum of its proper divisors (22752465963180).

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

11131012022100 is a wasteful number, since it uses less digits than its factorization.

11131012022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78031 (or 78024 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11131012022100 its reverse (122021013111), we get a palindrome (11253033035211).

The spelling of 11131012022100 in words is "eleven trillion, one hundred thirty-one billion, twelve million, twenty-two thousand, one hundred".