101001101101092 has 36 divisors (see below), whose sum is σ = 255326831375616. Its totient is φ = 33664595131440.

The previous prime is 101001101101079. The next prime is 101001101101099. The reversal of 101001101101092 is 290101101100101.

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

It is a super-2 number, since 2×101001101101092² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101001101101099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101103084 + ... + 102097187.

It is an arithmetic number, because the mean of its divisors is an integer number (7092411982656).

Almost surely, 2^{101001101101092} is an apocalyptic number.

101001101101092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001101101092 is an abundant number, since it is smaller than the sum of its proper divisors (154325730274524).

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

101001101101092 is a wasteful number, since it uses less digits than its factorization.

101001101101092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203214088 (or 203214083 counting only the distinct ones).

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

Adding to 101001101101092 its reverse (290101101100101), we get a palindrome (391102202201193).

The spelling of 101001101101092 in words is "one hundred one trillion, one billion, one hundred one million, one hundred one thousand, ninety-two".