1010100600001 has 16 divisors (see below), whose sum is σ = 1084088384064. Its totient is φ = 937767366144.

The previous prime is 1010100599999. The next prime is 1010100600023. The reversal of 1010100600001 is 1000060010101.

It is a cyclic number.

It is not a de Polignac number, because 1010100600001 - 2¹ = 1010100599999 is a prime.

It is a super-4 number, since 4×1010100600001⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010100600071) 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, 350605 + ... + 1463941.

It is an arithmetic number, because the mean of its divisors is an integer number (67755524004).

Almost surely, 2^{1010100600001} is an apocalyptic number.

It is an amenable number.

1010100600001 is a deficient number, since it is larger than the sum of its proper divisors (73987784063).

1010100600001 is a wasteful number, since it uses less digits than its factorization.

1010100600001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114080.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1010100600001 its reverse (1000060010101), we get a palindrome (2010160610102).

The spelling of 1010100600001 in words is "one trillion, ten billion, one hundred million, six hundred thousand, one".