101011102101108 has 18 divisors (see below), whose sum is σ = 255333619200114. Its totient is φ = 33670367367024.

The previous prime is 101011102101037. The next prime is 101011102101109. The reversal of 101011102101108 is 801101201110101.

It can be written as a sum of positive squares in only one way, i.e., 80510745037284 + 20500357063824 = 8972778^2 + 4527732^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011102101109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1402931973591 + ... + 1402931973662.

It is an arithmetic number, because the mean of its divisors is an integer number (14185201066673).

Almost surely, 2^{101011102101108} is an apocalyptic number.

101011102101108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101011102101108 is an abundant number, since it is smaller than the sum of its proper divisors (154322517099006).

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

101011102101108 is a wasteful number, since it uses less digits than its factorization.

101011102101108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805863947263 (or 2805863947258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101011102101108 its reverse (801101201110101), we get a palindrome (902112303211209).

The spelling of 101011102101108 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, one hundred eight".