10212211020100 has 36 divisors (see below), whose sum is σ = 23464056618324. Its totient is φ = 3844597089280.

The previous prime is 10212211020043. The next prime is 10212211020103. The reversal of 10212211020100 is 102011221201.

It can be written as a sum of positive squares in 6 ways, for example, as 33967227204 + 10178243792896 = 184302^2 + 3190336^2 .

It is not an unprimeable number, because it can be changed into a prime (10212211020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3003589777 + ... + 3003593176.

It is an arithmetic number, because the mean of its divisors is an integer number (651779350509).

Almost surely, 2^{10212211020100} is an apocalyptic number.

10212211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212211020100 is an abundant number, since it is smaller than the sum of its proper divisors (13251845598224).

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

10212211020100 is a wasteful number, since it uses less digits than its factorization.

10212211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007182984 (or 6007182977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10212211020100 its reverse (102011221201), we get a palindrome (10314222241301).

The spelling of 10212211020100 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, twenty thousand, one hundred".