10012211221001 has 24 divisors (see below), whose sum is σ = 11053730016000. Its totient is φ = 9061855140800.

The previous prime is 10012211220971. The next prime is 10012211221031.

10012211221001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10012211220971) and next prime (10012211221031).

It is not a de Polignac number, because 10012211221001 - 2³⁸ = 9737333314057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012211221031) 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 23 ways as a sum of consecutive naturals, for example, 134407196 + ... + 134481666.

It is an arithmetic number, because the mean of its divisors is an integer number (460572084000).

Almost surely, 2^{10012211221001} is an apocalyptic number.

10012211221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012211221001 is a deficient number, since it is larger than the sum of its proper divisors (1041518794999).

10012211221001 is a wasteful number, since it uses less digits than its factorization.

10012211221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79381 (or 79370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1001221 and 1221001, that added together give a palindrome (2222222).

The spelling of 10012211221001 in words is "ten trillion, twelve billion, two hundred eleven million, two hundred twenty-one thousand, one".