1101210331122 has 96 divisors (see below), whose sum is σ = 2631440395584. Its totient is φ = 330040627200.

The previous prime is 1101210331121. The next prime is 1101210331183. The reversal of 1101210331122 is 2211330121011.

1101210331122 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 210 + 331 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101210331095 and 1101210331104.

It is not an unprimeable number, because it can be changed into a prime (1101210331121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30154378 + ... + 30190874.

It is an arithmetic number, because the mean of its divisors is an integer number (27410837454).

Almost surely, 2^{1101210331122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101210331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315720197792).

1101210331122 is an abundant number, since it is smaller than the sum of its proper divisors (1530230064462).

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

1101210331122 is a wasteful number, since it uses less digits than its factorization.

1101210331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38184 (or 38181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101210331122 its reverse (2211330121011), we get a palindrome (3312540452133).

The spelling of 1101210331122 in words is "one trillion, one hundred one billion, two hundred ten million, three hundred thirty-one thousand, one hundred twenty-two".