10021111112001 has 32 divisors (see below), whose sum is σ = 14722081330176. Its totient is φ = 6012613880000.

The previous prime is 10021111111969. The next prime is 10021111112011.

10021111112001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10021111112001 - 2⁵ = 10021111111969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021111112011) 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 31 ways as a sum of consecutive naturals, for example, 31394716 + ... + 31712306.

It is an arithmetic number, because the mean of its divisors is an integer number (460065041568).

Almost surely, 2^{10021111112001} is an apocalyptic number.

10021111112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021111112001 is a deficient number, since it is larger than the sum of its proper divisors (4700970218175).

10021111112001 is a wasteful number, since it uses less digits than its factorization.

10021111112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327173.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1002111 and 1112001, that multiplied together give a palindrome (1114348434111).

The spelling of 10021111112001 in words is "ten trillion, twenty-one billion, one hundred eleven million, one hundred twelve thousand, one".