101100110011092 has 36 divisors (see below), whose sum is σ = 266669855393760. Its totient is φ = 32234817684432.

The previous prime is 101100110011067. The next prime is 101100110011151. The reversal of 101100110011092 is 290110011001101.

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

It is a super-3 number, since 3×101100110011092³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61050790242 + ... + 61050791897.

It is an arithmetic number, because the mean of its divisors is an integer number (7407495983160).

Almost surely, 2^{101100110011092} is an apocalyptic number.

101100110011092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100110011092 is an abundant number, since it is smaller than the sum of its proper divisors (165569745382668).

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

101100110011092 is a wasteful number, since it uses less digits than its factorization.

101100110011092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122101582172 (or 122101582167 counting only the distinct ones).

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

Adding to 101100110011092 its reverse (290110011001101), we get a palindrome (391210121012193).

The spelling of 101100110011092 in words is "one hundred one trillion, one hundred billion, one hundred ten million, eleven thousand, ninety-two".