10101010100001 has 16 divisors (see below), whose sum is σ = 13838438688384. Its totient is φ = 6548963197824.

The previous prime is 10101010099949. The next prime is 10101010100023. The reversal of 10101010100001 is 10000101010101.

It is not a de Polignac number, because 10101010100001 - 2²¹ = 10101008002849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101010100081) 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, 20894341 + ... + 21372306.

It is an arithmetic number, because the mean of its divisors is an integer number (864902418024).

Almost surely, 2^{10101010100001} is an apocalyptic number.

It is an amenable number.

10101010100001 is a deficient number, since it is larger than the sum of its proper divisors (3737428588383).

10101010100001 is a wasteful number, since it uses less digits than its factorization.

10101010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42268840.

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

Adding to 10101010100001 its reverse (10000101010101), we get a palindrome (20101111110102).

The spelling of 10101010100001 in words is "ten trillion, one hundred one billion, ten million, one hundred thousand, one".