10012111220001 has 64 divisors (see below), whose sum is σ = 14846990745600. Its totient is φ = 5950178611200.

The previous prime is 10012111219963. The next prime is 10012111220009. The reversal of 10012111220001 is 10002211121001.

It is not a de Polignac number, because 10012111220001 - 2⁶ = 10012111219937 is a prime.

It is a super-3 number, since 3×10012111220001³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012111220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1955869920 + ... + 1955875038.

It is an arithmetic number, because the mean of its divisors is an integer number (231984230400).

Almost surely, 2^{10012111220001} is an apocalyptic number.

10012111220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012111220001 is a deficient number, since it is larger than the sum of its proper divisors (4834879525599).

10012111220001 is a wasteful number, since it uses less digits than its factorization.

10012111220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012111220001 its reverse (10002211121001), we get a palindrome (20014322341002).

The spelling of 10012111220001 in words is "ten trillion, twelve billion, one hundred eleven million, two hundred twenty thousand, one".