10021111100001 has 32 divisors (see below), whose sum is σ = 14872593617280. Its totient is φ = 6668816214528.

The previous prime is 10021111099999. The next prime is 10021111100003. The reversal of 10021111100001 is 10000111112001.

It is an interprime number because it is at equal distance from previous prime (10021111099999) and next prime (10021111100003).

It is not a de Polignac number, because 10021111100001 - 2¹ = 10021111099999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10021111100003) 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 31 ways as a sum of consecutive naturals, for example, 319769605 + ... + 319800941.

It is an arithmetic number, because the mean of its divisors is an integer number (464768550540).

Almost surely, 2^{10021111100001} is an apocalyptic number.

It is an amenable number.

10021111100001 is a deficient number, since it is larger than the sum of its proper divisors (4851482517279).

10021111100001 is a wasteful number, since it uses less digits than its factorization.

10021111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52110 (or 52104 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10021111100001 its reverse (10000111112001), we get a palindrome (20021222212002).

The spelling of 10021111100001 in words is "ten trillion, twenty-one billion, one hundred eleven million, one hundred thousand, one".