10001011112002 has 16 divisors (see below), whose sum is σ = 15563276883000. Its totient is φ = 4814240296320.

The previous prime is 10001011111997. The next prime is 10001011112021. The reversal of 10001011112002 is 20021111010001.

It can be written as a sum of positive squares in 4 ways, for example, as 8096420667241 + 1904590444761 = 2845421^2 + 1380069^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10001011112002.

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 7 ways as a sum of consecutive naturals, for example, 247015899 + ... + 247056382.

Almost surely, 2^{10001011112002} is an apocalyptic number.

10001011112002 is a deficient number, since it is larger than the sum of its proper divisors (5562265770998).

10001011112002 is a wasteful number, since it uses less digits than its factorization.

10001011112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494072661.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001011112002 its reverse (20021111010001), we get a palindrome (30022122122003).

The spelling of 10001011112002 in words is "ten trillion, one billion, eleven million, one hundred twelve thousand, two".