101101100006130 has 128 divisors (see below), whose sum is σ = 277465955328000. Its totient is φ = 23095486817280.

The previous prime is 101101100006129. The next prime is 101101100006167. The reversal of 101101100006130 is 31600001101101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2932914795 + ... + 2932949265.

It is an arithmetic number, because the mean of its divisors is an integer number (2167702776000).

Almost surely, 2^{101101100006130} is an apocalyptic number.

101101100006130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101100006130 is an abundant number, since it is smaller than the sum of its proper divisors (176364855321870).

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

101101100006130 is a wasteful number, since it uses less digits than its factorization.

101101100006130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42144.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101101100006130 its reverse (31600001101101), we get a palindrome (132701101107231).

The spelling of 101101100006130 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, one hundred thirty".