111001011000093 has 36 divisors (see below), whose sum is σ = 167455446673788. Its totient is φ = 73572923687040.

The previous prime is 111001011000013. The next prime is 111001011000109. The reversal of 111001011000093 is 390000110100111.

It can be written as a sum of positive squares in 2 ways, for example, as 78670903994244 + 32330107005849 = 8869662^2 + 5685957^2 .

It is not a de Polignac number, because 111001011000093 - 2¹² = 111001010995997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001011000013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47761788 + ... + 50031893.

It is an arithmetic number, because the mean of its divisors is an integer number (4651540185383).

Almost surely, 2^{111001011000093} is an apocalyptic number.

It is an amenable number.

111001011000093 is a deficient number, since it is larger than the sum of its proper divisors (56454435673695).

111001011000093 is an frugal number, since it uses more digits than its factorization.

111001011000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97793878 (or 97793857 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 111001011000093 in words is "one hundred eleven trillion, one billion, eleven million, ninety-three", and thus it is an aban number.