1105010100601 has 24 divisors (see below), whose sum is σ = 1288046424672. Its totient is φ = 943991664000.

The previous prime is 1105010100589. The next prime is 1105010100643. The reversal of 1105010100601 is 1060010105011.

It is not a de Polignac number, because 1105010100601 - 2¹¹ = 1105010098553 is a prime.

It is a super-2 number, since 2×1105010100601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105010100661) 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, 904926 + ... + 1740376.

It is an arithmetic number, because the mean of its divisors is an integer number (53668601028).

Almost surely, 2^{1105010100601} is an apocalyptic number.

1105010100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1105010100601 is a deficient number, since it is larger than the sum of its proper divisors (183036324071).

1105010100601 is a wasteful number, since it uses less digits than its factorization.

1105010100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836133 (or 836122 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 1105010100601 its reverse (1060010105011), we get a palindrome (2165020205612).

The spelling of 1105010100601 in words is "one trillion, one hundred five billion, ten million, one hundred thousand, six hundred one".