101101100006028 has 48 divisors (see below), whose sum is σ = 236384127947520. Its totient is φ = 33631579331904.

The previous prime is 101101100005967. The next prime is 101101100006029. The reversal of 101101100006028 is 820600001101101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101101100005995 and 101101100006013.

It is not an unprimeable number, because it can be changed into a prime (101101100006029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115570126 + ... + 116441642.

It is an arithmetic number, because the mean of its divisors is an integer number (4924669332240).

Almost surely, 2^{101101100006028} is an apocalyptic number.

It is an amenable number.

101101100006028 is an abundant number, since it is smaller than the sum of its proper divisors (135283027941492).

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

101101100006028 is a wasteful number, since it uses less digits than its factorization.

101101100006028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891246 (or 891244 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 101101100006028 its reverse (820600001101101), we get a palindrome (921701101107129).

The spelling of 101101100006028 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, twenty-eight".