1101121121100 has 1152 divisors, whose sum is σ = 4437128005632. Its totient is φ = 203445043200.

The previous prime is 1101121121057. The next prime is 1101121121131. The reversal of 1101121121100 is 11211211011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1255553862 + ... + 1255554738.

It is an arithmetic number, because the mean of its divisors is an integer number (3851673616).

Almost surely, 2^{1101121121100} is an apocalyptic number.

1101121121100 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 1101121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218564002816).

1101121121100 is an abundant number, since it is smaller than the sum of its proper divisors (3336006884532).

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

1101121121100 is a wasteful number, since it uses less digits than its factorization.

1101121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101121121100 its reverse (11211211011), we get a palindrome (1112332332111).

It can be divided in two parts, 1101121 and 121100, that added together give a palindrome (1222221).

The spelling of 1101121121100 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".