100110101020013 has 16 divisors (see below), whose sum is σ = 116119860117504. Its totient is φ = 84527435971440.

The previous prime is 100110101020009. The next prime is 100110101020019. The reversal of 100110101020013 is 310020101011001.

It is a happy number.

It is not a de Polignac number, because 100110101020013 - 2² = 100110101020009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110101019976 and 100110101020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101020019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94959956 + ... + 96008402.

It is an arithmetic number, because the mean of its divisors is an integer number (7257491257344).

Almost surely, 2^{100110101020013} is an apocalyptic number.

It is an amenable number.

100110101020013 is a deficient number, since it is larger than the sum of its proper divisors (16009759097491).

100110101020013 is a wasteful number, since it uses less digits than its factorization.

100110101020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252112.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100110101020013 its reverse (310020101011001), we get a palindrome (410130202031014).

The spelling of 100110101020013 in words is "one hundred trillion, one hundred ten billion, one hundred one million, twenty thousand, thirteen".