1000020121100 has 648 divisors, whose sum is σ = 3118592209824. Its totient is φ = 275159808000.

The previous prime is 1000020121039. The next prime is 1000020121147. The reversal of 1000020121100 is 11210200001.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 177274280 + ... + 177279920.

Almost surely, 2^{1000020121100} is an apocalyptic number.

1000020121100 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 1000020121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559296104912).

1000020121100 is an abundant number, since it is smaller than the sum of its proper divisors (2118572088724).

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

1000020121100 is a wasteful number, since it uses less digits than its factorization.

1000020121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000020121100 its reverse (11210200001), we get a palindrome (1011230321101).

The spelling of 1000020121100 in words is "one trillion, twenty million, one hundred twenty-one thousand, one hundred".