10212102012100 has 36 divisors (see below), whose sum is σ = 22174531028244. Its totient is φ = 4082210452480.

The previous prime is 10212102012041. The next prime is 10212102012103. The reversal of 10212102012100 is 121020121201.

It can be written as a sum of positive squares in 6 ways, for example, as 4107407502276 + 6104694509824 = 2026674^2 + 2470768^2 .

It is not an unprimeable number, because it can be changed into a prime (10212102012103) 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, 32723329 + ... + 33033928.

It is an arithmetic number, because the mean of its divisors is an integer number (615959195229).

Almost surely, 2^{10212102012100} is an apocalyptic number.

10212102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212102012100 is an abundant number, since it is smaller than the sum of its proper divisors (11962429016144).

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

10212102012100 is a wasteful number, since it uses less digits than its factorization.

10212102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65758824 (or 65758817 counting only the distinct ones).

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

Adding to 10212102012100 its reverse (121020121201), we get a palindrome (10333122133301).

The spelling of 10212102012100 in words is "ten trillion, two hundred twelve billion, one hundred two million, twelve thousand, one hundred".