10011013101 has 16 divisors (see below), whose sum is σ = 14842777600. Its totient is φ = 6668767584.

The previous prime is 10011013099. The next prime is 10011013123. The reversal of 10011013101 is 10131011001.

It is not a de Polignac number, because 10011013101 - 2¹ = 10011013099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011013801) 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, 110416 + ... + 179481.

It is an arithmetic number, because the mean of its divisors is an integer number (927673600).

Almost surely, 2^10011013101 is an apocalyptic number.

It is an amenable number.

10011013101 is a deficient number, since it is larger than the sum of its proper divisors (4831764499).

10011013101 is a wasteful number, since it uses less digits than its factorization.

10011013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291185 (or 291179 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10011013101 its reverse (10131011001), we get a palindrome (20142024102).

It can be divided in two parts, 1001 and 1013101, that multiplied together give a palindrome (1014114101).

The spelling of 10011013101 in words is "ten billion, eleven million, thirteen thousand, one hundred one".