101011100100001 has 128 divisors (see below), whose sum is σ = 131727001190400. Its totient is φ = 76885207257600.

The previous prime is 101011100099977. The next prime is 101011100100007. The reversal of 101011100100001 is 100001001110101.

It is a happy number.

It is not a de Polignac number, because 101011100100001 - 2²¹ = 101011098002849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101011100100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34795417116 + ... + 34795420018.

It is an arithmetic number, because the mean of its divisors is an integer number (1029117196800).

Almost surely, 2^{101011100100001} is an apocalyptic number.

It is an amenable number.

101011100100001 is a deficient number, since it is larger than the sum of its proper divisors (30715901090399).

101011100100001 is a wasteful number, since it uses less digits than its factorization.

101011100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011100100001 its reverse (100001001110101), we get a palindrome (201012101210102).

It can be divided in two parts, 101011100 and 100001, that added together give a palindrome (101111101).

The spelling of 101011100100001 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred thousand, one".