100212621012 has 240 divisors, whose sum is σ = 304050503680. Its totient is φ = 28191094848.

The previous prime is 100212620923. The next prime is 100212621013. The reversal of 100212621012 is 210126212001.

100212621012 is a `hidden beast` number, since 10 + 0 + 21 + 2 + 621 + 0 + 12 = 666.

100212621012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212621013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40035753 + ... + 40038255.

Almost surely, 2^100212621012 is an apocalyptic number.

100212621012 is a gapful number since it is divisible by the number (12) 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 100212621012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152025251840).

100212621012 is an abundant number, since it is smaller than the sum of its proper divisors (203837882668).

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

100212621012 is a wasteful number, since it uses less digits than its factorization.

100212621012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100212621012 its reverse (210126212001), we get a palindrome (310338833013).

The spelling of 100212621012 in words is "one hundred billion, two hundred twelve million, six hundred twenty-one thousand, twelve".