100101110011101 has 24 divisors (see below), whose sum is σ = 147042012736320. Its totient is φ = 65602615176000.

The previous prime is 100101110011057. The next prime is 100101110011109. The reversal of 100101110011101 is 101110011101001.

It is not a de Polignac number, because 100101110011101 - 2¹⁷ = 100101109880029 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 (100101110011109) 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, 117777696 + ... + 118624566.

It is an arithmetic number, because the mean of its divisors is an integer number (6126750530680).

Almost surely, 2^{100101110011101} is an apocalyptic number.

It is an amenable number.

100101110011101 is a deficient number, since it is larger than the sum of its proper divisors (46940902725219).

100101110011101 is a wasteful number, since it uses less digits than its factorization.

100101110011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069537 (or 1069534 counting only the distinct ones).

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

Adding to 100101110011101 its reverse (101110011101001), we get a palindrome (201211121112102).

The spelling of 100101110011101 in words is "one hundred trillion, one hundred one billion, one hundred ten million, eleven thousand, one hundred one".