10201101010101 has 12 divisors (see below), whose sum is σ = 14912452883328. Its totient is φ = 6718797451944.

The previous prime is 10201101010081. The next prime is 10201101010123. The reversal of 10201101010101 is 10101010110201.

It is not a de Polignac number, because 10201101010101 - 2¹⁷ = 10201100879029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

10201101010101 is a modest number, since divided by 1010101 gives 102011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101010901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6828045445 + ... + 6828046938.

It is an arithmetic number, because the mean of its divisors is an integer number (1242704406944).

Almost surely, 2^{10201101010101} is an apocalyptic number.

It is an amenable number.

10201101010101 is a deficient number, since it is larger than the sum of its proper divisors (4711351873227).

10201101010101 is a wasteful number, since it uses less digits than its factorization.

10201101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656092472 (or 13656092469 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10201101010101 its reverse (10101010110201), we get a palindrome (20302111120302).

It can be divided in two parts, 10201 and 101010101, that multiplied together give a palindrome (1030404040301).

The spelling of 10201101010101 in words is "ten trillion, two hundred one billion, one hundred one million, ten thousand, one hundred one".