100212212021220 has 144 divisors (see below), whose sum is σ = 327865863386880. Its totient is φ = 24629494894848.

The previous prime is 100212212021209. The next prime is 100212212021221. The reversal of 100212212021220 is 22120212212001.

It is a happy number.

100212212021220 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 221 + 202 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212212021193 and 100212212021202.

It is not an unprimeable number, because it can be changed into a prime (100212212021221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31581640 + ... + 34609599.

It is an arithmetic number, because the mean of its divisors is an integer number (2276846273520).

Almost surely, 2^{100212212021220} is an apocalyptic number.

100212212021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212212021220 is an abundant number, since it is smaller than the sum of its proper divisors (227653651365660).

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

100212212021220 is a wasteful number, since it uses less digits than its factorization.

100212212021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66191914 (or 66191909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212212021220 its reverse (22120212212001), we get a palindrome (122332424233221).

The spelling of 100212212021220 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, two hundred twenty".