101110555101101 has 48 divisors (see below), whose sum is σ = 129274709538240. Its totient is φ = 78365276478720.

The previous prime is 101110555101071. The next prime is 101110555101131. The reversal of 101110555101101 is 101101555011101.

It is an interprime number because it is at equal distance from previous prime (101110555101071) and next prime (101110555101131).

It is not a de Polignac number, because 101110555101101 - 2¹⁸ = 101110554838957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110555101131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021961 + ... + 14257121.

It is an arithmetic number, because the mean of its divisors is an integer number (2693223115380).

Almost surely, 2^{101110555101101} is an apocalyptic number.

It is an amenable number.

101110555101101 is a deficient number, since it is larger than the sum of its proper divisors (28164154437139).

101110555101101 is a wasteful number, since it uses less digits than its factorization.

101110555101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235434 (or 13235427 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 23.

The spelling of 101110555101101 in words is "one hundred one trillion, one hundred ten billion, five hundred fifty-five million, one hundred one thousand, one hundred one".