10001002112122 has 16 divisors (see below), whose sum is σ = 17147043126720. Its totient is φ = 4285526743008.

The previous prime is 10001002112089. The next prime is 10001002112131. The reversal of 10001002112122 is 22121120010001.

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, 51317547 + ... + 51512062.

It is an arithmetic number, because the mean of its divisors is an integer number (1071690195420).

Almost surely, 2^{10001002112122} is an apocalyptic number.

10001002112122 is a deficient number, since it is larger than the sum of its proper divisors (7146041014598).

10001002112122 is a wasteful number, since it uses less digits than its factorization.

10001002112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102836565.

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

Adding to 10001002112122 its reverse (22121120010001), we get a palindrome (32122122122123).

The spelling of 10001002112122 in words is "ten trillion, one billion, two million, one hundred twelve thousand, one hundred twenty-two".