10002111102191 has 32 divisors (see below), whose sum is σ = 10939815828480. Its totient is φ = 9089290278144.

The previous prime is 10002111102163. The next prime is 10002111102211. The reversal of 10002111102191 is 19120111120001.

It is a cyclic number.

It is not a de Polignac number, because 10002111102191 - 2⁶ = 10002111102127 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 (10002111102391) 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, 389826635 + ... + 389852291.

It is an arithmetic number, because the mean of its divisors is an integer number (341869244640).

Almost surely, 2^{10002111102191} is an apocalyptic number.

10002111102191 is a deficient number, since it is larger than the sum of its proper divisors (937704726289).

10002111102191 is a wasteful number, since it uses less digits than its factorization.

10002111102191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27015.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 10002111102191 its reverse (19120111120001), we get a palindrome (29122222222192).

The spelling of 10002111102191 in words is "ten trillion, two billion, one hundred eleven million, one hundred two thousand, one hundred ninety-one".