1001010110001 has 32 divisors (see below), whose sum is σ = 1477938494976. Its totient is φ = 597540240000.

The previous prime is 1001010109973. The next prime is 1001010110003. The reversal of 1001010110001 is 1000110101001.

It is not a de Polignac number, because 1001010110001 - 2¹⁴ = 1001010093617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001010110003) 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, 20075301 + ... + 20125101.

It is an arithmetic number, because the mean of its divisors is an integer number (46185577968).

Almost surely, 2^{1001010110001} is an apocalyptic number.

1001010110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001010110001 is a deficient number, since it is larger than the sum of its proper divisors (476928384975).

1001010110001 is a wasteful number, since it uses less digits than its factorization.

1001010110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58973.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001010110001 its reverse (1000110101001), we get a palindrome (2001120211002).

It can be divided in two parts, 100 and 1010110001, that added together give a palindrome (1010110101).

The spelling of 1001010110001 in words is "one trillion, one billion, ten million, one hundred ten thousand, one".