1101000101093 has 16 divisors (see below), whose sum is σ = 1198892600640. Its totient is φ = 1006864286976.

The previous prime is 1101000101081. The next prime is 1101000101107. The reversal of 1101000101093 is 3901010001011.

It is a cyclic number.

It is not a de Polignac number, because 1101000101093 - 2²² = 1100995906789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101000101023) 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, 719471 + ... + 1649132.

It is an arithmetic number, because the mean of its divisors is an integer number (74930787540).

Almost surely, 2^{1101000101093} is an apocalyptic number.

It is an amenable number.

1101000101093 is a deficient number, since it is larger than the sum of its proper divisors (97892499547).

1101000101093 is a wasteful number, since it uses less digits than its factorization.

1101000101093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369396.

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 1101000101093 in words is "one trillion, one hundred one billion, one hundred one thousand, ninety-three".