10101100001093 has 16 divisors (see below), whose sum is σ = 10406172902400. Its totient is φ = 9799226477376.

The previous prime is 10101100001081. The next prime is 10101100001101. The reversal of 10101100001093 is 39010000110101.

It is a cyclic number.

It is not a de Polignac number, because 10101100001093 - 2¹⁴ = 10101099984709 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 (10101100001033) 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, 95776796 + ... + 95882202.

It is an arithmetic number, because the mean of its divisors is an integer number (650385806400).

Almost surely, 2^{10101100001093} is an apocalyptic number.

It is an amenable number.

10101100001093 is a deficient number, since it is larger than the sum of its proper divisors (305072901307).

10101100001093 is a wasteful number, since it uses less digits than its factorization.

10101100001093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120556.

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

Adding to 10101100001093 its reverse (39010000110101), we get a palindrome (49111100111194).

The spelling of 10101100001093 in words is "ten trillion, one hundred one billion, one hundred million, one thousand, ninety-three".