10101001100113 has 16 divisors (see below), whose sum is σ = 12601196365824. Its totient is φ = 7866072167760.

The previous prime is 10101001100111. The next prime is 10101001100149. The reversal of 10101001100113 is 31100110010101.

10101001100113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101001100113 - 2¹ = 10101001100111 is a prime.

It is a super-2 number, since 2×10101001100113² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101001100113.

It is not an unprimeable number, because it can be changed into a prime (10101001100111) 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, 40188745 + ... + 40439302.

It is an arithmetic number, because the mean of its divisors is an integer number (787574772864).

Almost surely, 2^{10101001100113} is an apocalyptic number.

It is an amenable number.

10101001100113 is a deficient number, since it is larger than the sum of its proper divisors (2500195265711).

10101001100113 is a wasteful number, since it uses less digits than its factorization.

10101001100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80629692.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10101001100113 its reverse (31100110010101), we get a palindrome (41201111110214).

The spelling of 10101001100113 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred thirteen".