10021001101111 has 16 divisors (see below), whose sum is σ = 13454770710528. Its totient is φ = 7207912879200.

The previous prime is 10021001101099. The next prime is 10021001101117. The reversal of 10021001101111 is 11110110012001.

It is not a de Polignac number, because 10021001101111 - 2¹⁹ = 10021000576823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021001101117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005494055 + ... + 5005496056.

It is an arithmetic number, because the mean of its divisors is an integer number (840923169408).

Almost surely, 2^{10021001101111} is an apocalyptic number.

10021001101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021001101111 is a deficient number, since it is larger than the sum of its proper divisors (3433769609417).

10021001101111 is a wasteful number, since it uses less digits than its factorization.

10021001101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010990142.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10021001101111 its reverse (11110110012001), we get a palindrome (21131111113112).

The spelling of 10021001101111 in words is "ten trillion, twenty-one billion, one million, one hundred one thousand, one hundred eleven".