100202212100 has 36 divisors (see below), whose sum is σ = 217720260324. Its totient is φ = 40029002880.

The previous prime is 100202212093. The next prime is 100202212111. The reversal of 100202212100 is 1212202001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31624220224 + 68577991876 = 177832^2 + 261874^2 .

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, 570839 + ... + 725438.

It is an arithmetic number, because the mean of its divisors is an integer number (6047785009).

Almost surely, 2^100202212100 is an apocalyptic number.

100202212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202212100 is an abundant number, since it is smaller than the sum of its proper divisors (117518048224).

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

100202212100 is a wasteful number, since it uses less digits than its factorization.

100202212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297064 (or 1297057 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100202212100 its reverse (1212202001), we get a palindrome (101414414101).

The spelling of 100202212100 in words is "one hundred billion, two hundred two million, two hundred twelve thousand, one hundred".