10101111101993 has 16 divisors (see below), whose sum is σ = 10186338332160. Its totient is φ = 10016337494016.

The previous prime is 10101111101987. The next prime is 10101111102013. The reversal of 10101111101993 is 39910111110101.

10101111101993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101111101993 - 2¹² = 10101111097897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101111101093) 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, 53140880 + ... + 53330622.

It is an arithmetic number, because the mean of its divisors is an integer number (636646145760).

Almost surely, 2^{10101111101993} is an apocalyptic number.

It is an amenable number.

10101111101993 is a deficient number, since it is larger than the sum of its proper divisors (85227230167).

10101111101993 is a wasteful number, since it uses less digits than its factorization.

10101111101993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190936.

The product of its (nonzero) digits is 243, while the sum is 29.

The spelling of 10101111101993 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, nine hundred ninety-three".