1011101101092 has 36 divisors (see below), whose sum is σ = 2556838673116. Its totient is φ = 336901861440.

The previous prime is 1011101101057. The next prime is 1011101101117. The reversal of 1011101101092 is 2901011011101.

It can be written as a sum of positive squares in 2 ways, for example, as 322742154816 + 688358946276 = 568104^2 + 829674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1011101101092³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5399959 + ... + 5584062.

Almost surely, 2^{1011101101092} is an apocalyptic number.

1011101101092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011101101092 is an abundant number, since it is smaller than the sum of its proper divisors (1545737572024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011101101092 is a wasteful number, since it uses less digits than its factorization.

1011101101092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986588 (or 10986583 counting only the distinct ones).

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

Adding to 1011101101092 its reverse (2901011011101), we get a palindrome (3912112112193).

The spelling of 1011101101092 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, ninety-two".