100212121002 has 64 divisors (see below), whose sum is σ = 241573893120. Its totient is φ = 27073108224.

The previous prime is 100212120979. The next prime is 100212121003. The reversal of 100212121002 is 200121212001.

100212121002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100212121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297298 + ... + 537410.

It is an arithmetic number, because the mean of its divisors is an integer number (3774592080).

Almost surely, 2^100212121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120786946560).

100212121002 is an abundant number, since it is smaller than the sum of its proper divisors (141361772118).

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

100212121002 is a wasteful number, since it uses less digits than its factorization.

100212121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240667.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212121002 its reverse (200121212001), we get a palindrome (300333333003).

Subtracting 100212121002 from its reverse (200121212001), we obtain a palindrome (99909090999).

The spelling of 100212121002 in words is "one hundred billion, two hundred twelve million, one hundred twenty-one thousand, two".