1122002020100 has 144 divisors (see below), whose sum is σ = 2778566952000. Its totient is φ = 389838251520.

The previous prime is 1122002020037. The next prime is 1122002020141. The reversal of 1122002020100 is 10202002211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3527867 + ... + 3832733.

Almost surely, 2^{1122002020100} is an apocalyptic number.

1122002020100 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 1122002020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389283476000).

1122002020100 is an abundant number, since it is smaller than the sum of its proper divisors (1656564931900).

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

1122002020100 is a wasteful number, since it uses less digits than its factorization.

1122002020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305062 (or 305055 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1122002020100 its reverse (10202002211), we get a palindrome (1132204022311).

The spelling of 1122002020100 in words is "one trillion, one hundred twenty-two billion, two million, twenty thousand, one hundred".