101011000100101 has 16 divisors (see below), whose sum is σ = 126666914500224. Its totient is φ = 78412851825984.

The previous prime is 101011000100057. The next prime is 101011000100107. The reversal of 101011000100101 is 101001000110101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101011000100101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000100107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10471796971 + ... + 10471806616.

It is an arithmetic number, because the mean of its divisors is an integer number (7916682156264).

Almost surely, 2^{101011000100101} is an apocalyptic number.

It is an amenable number.

101011000100101 is a deficient number, since it is larger than the sum of its proper divisors (25655914400123).

101011000100101 is a wasteful number, since it uses less digits than its factorization.

101011000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20943603660.

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

Adding to 101011000100101 its reverse (101001000110101), we get a palindrome (202012000210202).

It can be divided in two parts, 101011000 and 100101, that added together give a palindrome (101111101).

The spelling of 101011000100101 in words is "one hundred one trillion, eleven billion, one hundred thousand, one hundred one".