100110110101101 has 24 divisors (see below), whose sum is σ = 146411157876984. Its totient is φ = 65908751247360.

The previous prime is 100110110101033. The next prime is 100110110101109. The reversal of 100110110101101 is 101101011011001.

It can be written as a sum of positive squares in 4 ways, for example, as 5062702502025 + 95047407599076 = 2250045^2 + 9749226^2 .

It is not a de Polignac number, because 100110110101101 - 2¹¹ = 100110110099053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110110101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123972456 + ... + 124777361.

It is an arithmetic number, because the mean of its divisors is an integer number (6100464911541).

Almost surely, 2^{100110110101101} is an apocalyptic number.

It is an amenable number.

100110110101101 is a deficient number, since it is larger than the sum of its proper divisors (46301047775883).

100110110101101 is a wasteful number, since it uses less digits than its factorization.

100110110101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248750381 (or 248750378 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110110101101 its reverse (101101011011001), we get a palindrome (201211121112102).

It can be divided in two parts, 1001 and 10110101101, that multiplied together give a palindrome (10120211202101).

The spelling of 100110110101101 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred one".