100312212120 has 192 divisors, whose sum is σ = 327481812000. Its totient is φ = 24561991680.

The previous prime is 100312212107. The next prime is 100312212131. The reversal of 100312212120 is 21212213001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100312212120.

It is a congruent 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, 1386606 + ... + 1457154.

Almost surely, 2^100312212120 is an apocalyptic number.

100312212120 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 100312212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163740906000).

100312212120 is an abundant number, since it is smaller than the sum of its proper divisors (227169599880).

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

100312212120 is a wasteful number, since it uses less digits than its factorization.

100312212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70638 (or 70617 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100312212120 its reverse (21212213001), we get a palindrome (121524425121).

The spelling of 100312212120 in words is "one hundred billion, three hundred twelve million, two hundred twelve thousand, one hundred twenty".