10010110100001 has 16 divisors (see below), whose sum is σ = 14563712467200. Its totient is φ = 6065253259920.

The previous prime is 10010110099963. The next prime is 10010110100017. The reversal of 10010110100001 is 10000101101001.

It is not a de Polignac number, because 10010110100001 - 2²¹ = 10010108002849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010110100021) 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, 36866035 + ... + 37136568.

It is an arithmetic number, because the mean of its divisors is an integer number (910232029200).

Almost surely, 2^{10010110100001} is an apocalyptic number.

10010110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010110100001 is a deficient number, since it is larger than the sum of its proper divisors (4553602367199).

10010110100001 is a wasteful number, since it uses less digits than its factorization.

10010110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74006716.

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

Adding to 10010110100001 its reverse (10000101101001), we get a palindrome (20010211201002).

The spelling of 10010110100001 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, one".