11020122101100 has 288 divisors, whose sum is σ = 36589408128000. Its totient is φ = 2508557552640.

The previous prime is 11020122101033. The next prime is 11020122101101. The reversal of 11020122101100 is 110122102011.

It is a super-2 number, since 2×11020122101100² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11020122101101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1744515142 + ... + 1744521458.

It is an arithmetic number, because the mean of its divisors is an integer number (127046556000).

Almost surely, 2^{11020122101100} is an apocalyptic number.

11020122101100 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 11020122101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294704064000).

11020122101100 is an abundant number, since it is smaller than the sum of its proper divisors (25569286026900).

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

11020122101100 is a wasteful number, since it uses less digits than its factorization.

11020122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9617 (or 9610 counting only the distinct ones).

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

Adding to 11020122101100 its reverse (110122102011), we get a palindrome (11130244203111).

The spelling of 11020122101100 in words is "eleven trillion, twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred".