11100100122000 has 480 divisors, whose sum is σ = 42158964448224. Its totient is φ = 2710609920000.

The previous prime is 11100100121993. The next prime is 11100100122019. The reversal of 11100100122000 is 22100100111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6815796261264 + 4284303860736 = 2610708^2 + 2069856^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10831800 + ... + 11812200.

Almost surely, 2^{11100100122000} is an apocalyptic number.

11100100122000 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 11100100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079482224112).

11100100122000 is an abundant number, since it is smaller than the sum of its proper divisors (31058864326224).

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

11100100122000 is a wasteful number, since it uses less digits than its factorization.

11100100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980484 (or 980465 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100100122000 its reverse (22100100111), we get a palindrome (11122200222111).

The spelling of 11100100122000 in words is "eleven trillion, one hundred billion, one hundred million, one hundred twenty-two thousand".