100000212120 has 320 divisors, whose sum is σ = 339659274240. Its totient is φ = 26387078400.

The previous prime is 100000212101. The next prime is 100000212149. The reversal of 100000212120 is 21212000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175131435 + ... + 175132005.

It is an arithmetic number, because the mean of its divisors is an integer number (1061435232).

Almost surely, 2^100000212120 is an apocalyptic number.

100000212120 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 100000212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169829637120).

100000212120 is an abundant number, since it is smaller than the sum of its proper divisors (239659062120).

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

100000212120 is a wasteful number, since it uses less digits than its factorization.

100000212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000212120 its reverse (21212000001), we get a palindrome (121212212121).

The spelling of 100000212120 in words is "one hundred billion, two hundred twelve thousand, one hundred twenty".