1011100122120 has 384 divisors, whose sum is σ = 3374543877120. Its totient is φ = 240330931200.

The previous prime is 1011100122113. The next prime is 1011100122143. The reversal of 1011100122120 is 212210011101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011100122096 and 1011100122105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4454185447 + ... + 4454185673.

It is an arithmetic number, because the mean of its divisors is an integer number (8787874680).

Almost surely, 2^{1011100122120} is an apocalyptic number.

1011100122120 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 1011100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687271938560).

1011100122120 is an abundant number, since it is smaller than the sum of its proper divisors (2363443755000).

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

1011100122120 is a wasteful number, since it uses less digits than its factorization.

1011100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011100122120 its reverse (212210011101), we get a palindrome (1223310133221).

The spelling of 1011100122120 in words is "one trillion, eleven billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".