1101211121010 has 256 divisors, whose sum is σ = 3644427644928. Its totient is φ = 205512422400.

The previous prime is 1101211120943. The next prime is 1101211121011. The reversal of 1101211121010 is 101211121011.

It is a super-2 number, since 2×1101211121010² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101211121011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615565 + ... + 1606655.

It is an arithmetic number, because the mean of its divisors is an integer number (14236045488).

Almost surely, 2^{1101211121010} is an apocalyptic number.

1101211121010 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 1101211121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822213822464).

1101211121010 is an abundant number, since it is smaller than the sum of its proper divisors (2543216523918).

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

1101211121010 is a wasteful number, since it uses less digits than its factorization.

1101211121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991169.

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

Adding to 1101211121010 its reverse (101211121011), we get a palindrome (1202422242021).

Subtracting from 1101211121010 its reverse (101211121011), we obtain a palindrome (999999999999).

It can be divided in two parts, 1101211 and 121010, that added together give a palindrome (1222221).

The spelling of 1101211121010 in words is "one trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, ten".