10002101010212 has 12 divisors (see below), whose sum is σ = 17530983600396. Its totient is φ = 4993248552960.

The previous prime is 10002101010199. The next prime is 10002101010229. The reversal of 10002101010212 is 21201010120001.

It can be written as a sum of positive squares in 2 ways, for example, as 4018284848356 + 5983816161856 = 2004566^2 + 2446184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002101010193 and 10002101010202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950485153 + ... + 1950490280.

It is an arithmetic number, because the mean of its divisors is an integer number (1460915300033).

Almost surely, 2^{10002101010212} is an apocalyptic number.

It is an amenable number.

10002101010212 is a deficient number, since it is larger than the sum of its proper divisors (7528882590184).

10002101010212 is a wasteful number, since it uses less digits than its factorization.

10002101010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900976078 (or 3900976076 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002101010212 its reverse (21201010120001), we get a palindrome (31203111130213).

The spelling of 10002101010212 in words is "ten trillion, two billion, one hundred one million, ten thousand, two hundred twelve".