1100000101093 has 2 divisors, whose sum is σ = 1100000101094. Its totient is φ = 1100000101092.

The previous prime is 1100000101091. The next prime is 1100000101129. The reversal of 1100000101093 is 3901010000011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1057736142369 + 42263958724 = 1028463^2 + 205582^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100000101093 - 2¹ = 1100000101091 is a prime.

It is a super-2 number, since 2×1100000101093² (a number of 25 digits) contains 22 as substring.

Together with 1100000101091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100000101091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000050546 + 550000050547.

It is an arithmetic number, because the mean of its divisors is an integer number (550000050547).

Almost surely, 2^{1100000101093} is an apocalyptic number.

It is an amenable number.

1100000101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100000101093 is an equidigital number, since it uses as much as digits as its factorization.

1100000101093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 1100000101093 in words is "one trillion, one hundred billion, one hundred one thousand, ninety-three".