100100220021252 has 72 divisors (see below), whose sum is σ = 279359650271520. Its totient is φ = 29967937345920.

The previous prime is 100100220021157. The next prime is 100100220021253. The reversal of 100100220021252 is 252120022001001.

100100220021252 is a `hidden beast` number, since 100 + 100 + 2 + 200 + 212 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100100220021253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522728177 + ... + 1522793912.

It is an arithmetic number, because the mean of its divisors is an integer number (3879995142660).

Almost surely, 2^{100100220021252} is an apocalyptic number.

100100220021252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100220021252 is an abundant number, since it is smaller than the sum of its proper divisors (179259430250268).

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

100100220021252 is a wasteful number, since it uses less digits than its factorization.

100100220021252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045522193 (or 3045522188 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 100100220021252 its reverse (252120022001001), we get a palindrome (352220242022253).

The spelling of 100100220021252 in words is "one hundred trillion, one hundred billion, two hundred twenty million, twenty-one thousand, two hundred fifty-two".