1121002101100 has 144 divisors (see below), whose sum is σ = 2928334796800. Its totient is φ = 371945044800.

The previous prime is 1121002101083. The next prime is 1121002101137. The reversal of 1121002101100 is 11012001211.

It is a super-2 number, since 2×1121002101100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536167 + ... + 1590433.

Almost surely, 2^{1121002101100} is an apocalyptic number.

1121002101100 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 1121002101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464167398400).

1121002101100 is an abundant number, since it is smaller than the sum of its proper divisors (1807332695700).

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

1121002101100 is a wasteful number, since it uses less digits than its factorization.

1121002101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054333 (or 1054312 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121002101100 its reverse (11012001211), we get a palindrome (1132014102311).

The spelling of 1121002101100 in words is "one trillion, one hundred twenty-one billion, two million, one hundred one thousand, one hundred".