101101005106100 has 72 divisors (see below), whose sum is σ = 230941573376640. Its totient is φ = 38311031911680.

The previous prime is 101101005106097. The next prime is 101101005106111. The reversal of 101101005106100 is 1601500101101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 80512664 + ... + 81758736.

Almost surely, 2^{101101005106100} is an apocalyptic number.

101101005106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101005106100 is an abundant number, since it is smaller than the sum of its proper divisors (129840568270540).

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

101101005106100 is a wasteful number, since it uses less digits than its factorization.

101101005106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288809 (or 1288802 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 101101005106100 its reverse (1601500101101), we get a palindrome (102702505207201).

The spelling of 101101005106100 in words is "one hundred one trillion, one hundred one billion, five million, one hundred six thousand, one hundred".