10021311105 has 32 divisors (see below), whose sum is σ = 17278168320. Its totient is φ = 4930517760.

The previous prime is 10021311103. The next prime is 10021311107. The reversal of 10021311105 is 50111312001.

It is an interprime number because it is at equal distance from previous prime (10021311103) and next prime (10021311107).

It is not a de Polignac number, because 10021311105 - 2¹ = 10021311103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10021311103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318220 + ... + 348290.

It is an arithmetic number, because the mean of its divisors is an integer number (539942760).

Almost surely, 2^10021311105 is an apocalyptic number.

10021311105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10021311105 is a deficient number, since it is larger than the sum of its proper divisors (7256857215).

10021311105 is a wasteful number, since it uses less digits than its factorization.

10021311105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31801.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10021311105 its reverse (50111312001), we get a palindrome (60132623106).

It can be divided in two parts, 1002131 and 1105, that added together give a triangular number (1003236 = T₁₄₁₆).

The spelling of 10021311105 in words is "ten billion, twenty-one million, three hundred eleven thousand, one hundred five".