10002100212100 has 36 divisors (see below), whose sum is σ = 21710316982900. Its totient is φ = 3999778421760.

The previous prime is 10002100212061. The next prime is 10002100212121. The reversal of 10002100212100 is 121200120001.

It can be written as a sum of positive squares in 6 ways, for example, as 10850436 + 10002089361664 = 3294^2 + 3162608^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12892005 + ... + 13645804.

Almost surely, 2^{10002100212100} is an apocalyptic number.

10002100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002100212100 is an abundant number, since it is smaller than the sum of its proper divisors (11708216770800).

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

10002100212100 is a wasteful number, since it uses less digits than its factorization.

10002100212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26541592 (or 26541585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002100212100 its reverse (121200120001), we get a palindrome (10123300332101).

The spelling of 10002100212100 in words is "ten trillion, two billion, one hundred million, two hundred twelve thousand, one hundred".