101115105055055 has 48 divisors (see below), whose sum is σ = 150260636456640. Its totient is φ = 63959538898944.

The previous prime is 101115105055001. The next prime is 101115105055057. The reversal of 101115105055055 is 550550501511101.

It is not a de Polignac number, because 101115105055055 - 2¹⁶ = 101115104989519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101115105055057) 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, 3067109 + ... + 14547761.

It is an arithmetic number, because the mean of its divisors is an integer number (3130429926180).

Almost surely, 2^{101115105055055} is an apocalyptic number.

101115105055055 is a deficient number, since it is larger than the sum of its proper divisors (49145531401585).

101115105055055 is a wasteful number, since it uses less digits than its factorization.

101115105055055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11482180 (or 11482167 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 35.

Adding to 101115105055055 its reverse (550550501511101), we get a palindrome (651665606566156).

The spelling of 101115105055055 in words is "one hundred one trillion, one hundred fifteen billion, one hundred five million, fifty-five thousand, fifty-five".