10100100101001 has 32 divisors (see below), whose sum is σ = 14423720243328. Its totient is φ = 6264469585920.

The previous prime is 10100100100939. The next prime is 10100100101009. The reversal of 10100100101001 is 10010100100101.

It is not a de Polignac number, because 10100100101001 - 2²³ = 10100091712393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100100101009) 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, 1224160 + ... + 4658193.

It is an arithmetic number, because the mean of its divisors is an integer number (450741257604).

Almost surely, 2^{10100100101001} is an apocalyptic number.

It is an amenable number.

10100100101001 is a deficient number, since it is larger than the sum of its proper divisors (4323620142327).

10100100101001 is a wasteful number, since it uses less digits than its factorization.

10100100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882761.

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

Adding to 10100100101001 its reverse (10010100100101), we get a palindrome (20110200201102).

It can be divided in two parts, 10100100 and 101001, that multiplied together give a square (1020120200100 = 1010010²).

The spelling of 10100100101001 in words is "ten trillion, one hundred billion, one hundred million, one hundred one thousand, one".