10000101010101 has 32 divisors (see below), whose sum is σ = 14015421488640. Its totient is φ = 6334287511104.

The previous prime is 10000101010057. The next prime is 10000101010157. The reversal of 10000101010101 is 10101010100001.

It is not a de Polignac number, because 10000101010101 - 2²¹ = 10000098912949 is a prime.

10000101010101 is a modest number, since divided by 1010101 gives 100001 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10000101010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21356670 + ... + 21819888.

It is an arithmetic number, because the mean of its divisors is an integer number (437981921520).

Almost surely, 2^{10000101010101} is an apocalyptic number.

It is an amenable number.

10000101010101 is a deficient number, since it is larger than the sum of its proper divisors (4015320478539).

10000101010101 is a wasteful number, since it uses less digits than its factorization.

10000101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467825.

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

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

It can be divided in two parts, 10000 and 101010101, that added together give a palindrome (101020101).

The spelling of 10000101010101 in words is "ten trillion, one hundred one million, ten thousand, one hundred one".