101001100000101 has 32 divisors (see below), whose sum is σ = 153978781544448. Its totient is φ = 57687787742400.

The previous prime is 101001100000067. The next prime is 101001100000103. The reversal of 101001100000101 is 101000001100101.

It is not a de Polignac number, because 101001100000101 - 2¹⁹ = 101001099475813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001100000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100000103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933490355 + ... + 1933542591.

It is an arithmetic number, because the mean of its divisors is an integer number (4811836923264).

Almost surely, 2^{101001100000101} is an apocalyptic number.

It is an amenable number.

101001100000101 is a deficient number, since it is larger than the sum of its proper divisors (52977681544347).

101001100000101 is a wasteful number, since it uses less digits than its factorization.

101001100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93761.

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

Adding to 101001100000101 its reverse (101000001100101), we get a palindrome (202001101100202).

It can be divided in two parts, 101001100000 and 101, that added together give a palindrome (101001100101).

The spelling of 101001100000101 in words is "one hundred one trillion, one billion, one hundred million, one hundred one", and thus it is an aban number.