1101121110102 has 128 divisors (see below), whose sum is σ = 2621507825664. Its totient is φ = 304875952128.

The previous prime is 1101121110091. The next prime is 1101121110121. The reversal of 1101121110102 is 2010111211011.

It is a super-2 number, since 2×1101121110102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81636403 + ... + 81649889.

It is an arithmetic number, because the mean of its divisors is an integer number (20480529888).

Almost surely, 2^{1101121110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101121110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310753912832).

1101121110102 is an abundant number, since it is smaller than the sum of its proper divisors (1520386715562).

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

1101121110102 is a wasteful number, since it uses less digits than its factorization.

1101121110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16222.

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

Adding to 1101121110102 its reverse (2010111211011), we get a palindrome (3111232321113).

The spelling of 1101121110102 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred ten thousand, one hundred two".