100212100000 has 72 divisors (see below), whose sum is σ = 246600177516. Its totient is φ = 40084800000.

The previous prime is 100212099983. The next prime is 100212100013. The reversal of 100212100000 is 1212001.

It can be written as a sum of positive squares in 6 ways, for example, as 10190498704 + 90021601296 = 100948^2 + 300036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401061 + ... + 601060.

Almost surely, 2^100212100000 is an apocalyptic number.

100212100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212100000 is an abundant number, since it is smaller than the sum of its proper divisors (146388077516).

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

100212100000 is an frugal number, since it uses more digits than its factorization.

100212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002156 (or 1002128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100212100000 its reverse (1212001), we get a palindrome (100213312001).

The spelling of 100212100000 in words is "one hundred billion, two hundred twelve million, one hundred thousand".