8891001021101 has 16 divisors (see below), whose sum is σ = 9505965342720. Its totient is φ = 8295596694000.

The previous prime is 8891001021073. The next prime is 8891001021107. The reversal of 8891001021101 is 1011201001988.

It is a cyclic number.

It is not a de Polignac number, because 8891001021101 - 2¹⁸ = 8891000758957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8891001021107) 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 15 ways as a sum of consecutive naturals, for example, 5242541 + ... + 6728018.

It is an arithmetic number, because the mean of its divisors is an integer number (594122833920).

Almost surely, 2^{8891001021101} is an apocalyptic number.

It is an amenable number.

8891001021101 is a deficient number, since it is larger than the sum of its proper divisors (614964321619).

8891001021101 is a wasteful number, since it uses less digits than its factorization.

8891001021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971376.

The product of its (nonzero) digits is 1152, while the sum is 32.

The spelling of 8891001021101 in words is "eight trillion, eight hundred ninety-one billion, one million, twenty-one thousand, one hundred one".