100211202220100 has 36 divisors (see below), whose sum is σ = 217586754730884. Its totient is φ = 40060804222080.

The previous prime is 100211202220069. The next prime is 100211202220109. The reversal of 100211202220100 is 1022202112001.

It can be written as a sum of positive squares in 6 ways, for example, as 19407355322884 + 80803846897216 = 4405378^2 + 8989096^2 .

It is not an unprimeable number, because it can be changed into a prime (100211202220109) 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 11 ways as a sum of consecutive naturals, for example, 295788179 + ... + 296126778.

Almost surely, 2^{100211202220100} is an apocalyptic number.

100211202220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211202220100 is an abundant number, since it is smaller than the sum of its proper divisors (117375552510784).

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

100211202220100 is a wasteful number, since it uses less digits than its factorization.

100211202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591916664 (or 591916657 counting only the distinct ones).

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

Adding to 100211202220100 its reverse (1022202112001), we get a palindrome (101233404332101).

The spelling of 100211202220100 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, two hundred twenty thousand, one hundred".