101001000011101 has 32 divisors (see below), whose sum is σ = 105916623031296. Its totient is φ = 96228715632000.

The previous prime is 101001000011083. The next prime is 101001000011159. The reversal of 101001000011101 is 101110000100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101001000011101 - 2¹³ = 101001000002909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000011161) 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, 2918833666 + ... + 2918868268.

It is an arithmetic number, because the mean of its divisors is an integer number (3309894469728).

Almost surely, 2^{101001000011101} is an apocalyptic number.

It is an amenable number.

101001000011101 is a deficient number, since it is larger than the sum of its proper divisors (4915623020195).

101001000011101 is a wasteful number, since it uses less digits than its factorization.

101001000011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44193.

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

Adding to 101001000011101 its reverse (101110000100101), we get a palindrome (202111000111202).

The spelling of 101001000011101 in words is "one hundred one trillion, one billion, eleven thousand, one hundred one".