10002211220001 has 64 divisors (see below), whose sum is σ = 18390004125696. Its totient is φ = 4666636281600.

The previous prime is 10002211219969. The next prime is 10002211220107.

10002211220001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10002211220001 - 2⁵ = 10002211219969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002211220401) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44898885 + ... + 45121106.

It is an arithmetic number, because the mean of its divisors is an integer number (287343814464).

Almost surely, 2^{10002211220001} is an apocalyptic number.

10002211220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002211220001 is a deficient number, since it is larger than the sum of its proper divisors (8387792905695).

10002211220001 is a wasteful number, since it uses less digits than its factorization.

10002211220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90020062.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1000221 and 1220001, that added together give a palindrome (2220222).

The spelling of 10002211220001 in words is "ten trillion, two billion, two hundred eleven million, two hundred twenty thousand, one".