10111221212001 has 192 divisors, whose sum is σ = 18444458930688. Its totient is φ = 4791771758592.

The previous prime is 10111221211981. The next prime is 10111221212017. The reversal of 10111221212001 is 10021212211101.

It is a happy number.

It is not a de Polignac number, because 10111221212001 - 2⁶ = 10111221211937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111221212051) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 154684341 + ... + 154749693.

It is an arithmetic number, because the mean of its divisors is an integer number (96064890264).

Almost surely, 2^{10111221212001} is an apocalyptic number.

It is an amenable number.

10111221212001 is a deficient number, since it is larger than the sum of its proper divisors (8333237718687).

10111221212001 is a wasteful number, since it uses less digits than its factorization.

10111221212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65500 (or 65483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111221212001 its reverse (10021212211101), we get a palindrome (20132433423102).

The spelling of 10111221212001 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand, one".