100212210121220 has 48 divisors (see below), whose sum is σ = 212640855995568. Its totient is φ = 39666847703040.

The previous prime is 100212210121181. The next prime is 100212210121223. The reversal of 100212210121220 is 22121012212001.

It can be written as a sum of positive squares in 8 ways, for example, as 52426345024 + 100159783776196 = 228968^2 + 10007986^2 .

It is not an unprimeable number, because it can be changed into a prime (100212210121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12974000 + ... + 19202840.

It is an arithmetic number, because the mean of its divisors is an integer number (4430017833241).

Almost surely, 2^{100212210121220} is an apocalyptic number.

100212210121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212210121220 is an abundant number, since it is smaller than the sum of its proper divisors (112428645874348).

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

100212210121220 is a wasteful number, since it uses less digits than its factorization.

100212210121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237240 (or 6237238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100212210121220 its reverse (22121012212001), we get a palindrome (122333222333221).

The spelling of 100212210121220 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".