100210221021200 has 120 divisors (see below), whose sum is σ = 263707364092680. Its totient is φ = 36425297305600.

The previous prime is 100210221021199. The next prime is 100210221021203. The reversal of 100210221021200 is 2120122012001.

It can be written as a sum of positive squares in 12 ways, for example, as 6678730536976 + 93531490484224 = 2584324^2 + 9671168^2 .

It is not an unprimeable number, because it can be changed into a prime (100210221021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253885511 + ... + 254279910.

It is an arithmetic number, because the mean of its divisors is an integer number (2197561367439).

Almost surely, 2^{100210221021200} is an apocalyptic number.

100210221021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210221021200 is an abundant number, since it is smaller than the sum of its proper divisors (163497143071480).

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

100210221021200 is a wasteful number, since it uses less digits than its factorization.

100210221021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508165485 (or 508165474 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100210221021200 its reverse (2120122012001), we get a palindrome (102330343033201).

The spelling of 100210221021200 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, twenty-one thousand, two hundred".