100020211120 has 40 divisors (see below), whose sum is σ = 234849455280. Its totient is φ = 39611961600.

The previous prime is 100020211079. The next prime is 100020211121. The reversal of 100020211120 is 21112020001.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 100020211097 and 100020211106.

It is not an unprimeable number, because it can be changed into a prime (100020211121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6181290 + ... + 6197449.

It is an arithmetic number, because the mean of its divisors is an integer number (5871236382).

Almost surely, 2^100020211120 is an apocalyptic number.

100020211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020211120 is an abundant number, since it is smaller than the sum of its proper divisors (134829244160).

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

100020211120 is a wasteful number, since it uses less digits than its factorization.

100020211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12378853 (or 12378847 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020211120 its reverse (21112020001), we get a palindrome (121132231121).

The spelling of 100020211120 in words is "one hundred billion, twenty million, two hundred eleven thousand, one hundred twenty".