1101121101210 has 128 divisors (see below), whose sum is σ = 2942186607360. Its totient is φ = 262012133376.

The previous prime is 1101121101203. The next prime is 1101121101217. The reversal of 1101121101210 is 121011211011.

It is an interprime number because it is at equal distance from previous prime (1101121101203) and next prime (1101121101217).

It is not an unprimeable number, because it can be changed into a prime (1101121101217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288236 + ... + 1965144.

It is an arithmetic number, because the mean of its divisors is an integer number (22985832870).

Almost surely, 2^{1101121101210} is an apocalyptic number.

1101121101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101121101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471093303680).

1101121101210 is an abundant number, since it is smaller than the sum of its proper divisors (1841065506150).

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

1101121101210 is a wasteful number, since it uses less digits than its factorization.

1101121101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677072.

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

Adding to 1101121101210 its reverse (121011211011), we get a palindrome (1222132312221).

The spelling of 1101121101210 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred ten".