10002211011001 has 32 divisors (see below), whose sum is σ = 11143405099008. Its totient is φ = 8901892707840.

The previous prime is 10002211010993. The next prime is 10002211011017. The reversal of 10002211011001 is 10011011220001.

It is not a de Polignac number, because 10002211011001 - 2³ = 10002211010993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002211011031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99630036 + ... + 99730378.

It is an arithmetic number, because the mean of its divisors is an integer number (348231409344).

Almost surely, 2^{10002211011001} is an apocalyptic number.

10002211011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002211011001 is a deficient number, since it is larger than the sum of its proper divisors (1141194088007).

10002211011001 is a wasteful number, since it uses less digits than its factorization.

10002211011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101461.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002211011001 its reverse (10011011220001), we get a palindrome (20013222231002).

The spelling of 10002211011001 in words is "ten trillion, two billion, two hundred eleven million, eleven thousand, one".