10000001002212 has 36 divisors (see below), whose sum is σ = 27222224951740. Its totient is φ = 3076923385152.

The previous prime is 10000001002181. The next prime is 10000001002261. The reversal of 10000001002212 is 21220010000001.

It can be written as a sum of positive squares in 2 ways, for example, as 6626989598436 + 3373011403776 = 2574294^2 + 1836576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000001002194 and 10000001002203.

It is an unprimeable number.

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, 10683761287 + ... + 10683762222.

Almost surely, 2^{10000001002212} is an apocalyptic number.

10000001002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000001002212 is an abundant number, since it is smaller than the sum of its proper divisors (17222223949528).

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

10000001002212 is a wasteful number, since it uses less digits than its factorization.

10000001002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21367523532 (or 21367523527 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000001002212 its reverse (21220010000001), we get a palindrome (31220011002213).

The spelling of 10000001002212 in words is "ten trillion, one million, two thousand, two hundred twelve".