100020121100 has 144 divisors (see below), whose sum is σ = 234502490880. Its totient is φ = 36914169600.

The previous prime is 100020121099. The next prime is 100020121211. The reversal of 100020121100 is 1121020001.

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 47 ways as a sum of consecutive naturals, for example, 11192234 + ... + 11201166.

It is an arithmetic number, because the mean of its divisors is an integer number (1628489520).

Almost surely, 2^100020121100 is an apocalyptic number.

100020121100 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 100020121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117251245440).

100020121100 is an abundant number, since it is smaller than the sum of its proper divisors (134482369780).

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

100020121100 is a wasteful number, since it uses less digits than its factorization.

100020121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9113 counting only the distinct ones).

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

Adding to 100020121100 its reverse (1121020001), we get a palindrome (101141141101).

The spelling of 100020121100 in words is "one hundred billion, twenty million, one hundred twenty-one thousand, one hundred".